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Finding the Fourth Proportional to 566.82, 783.07 and 380.24

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Solution

The fourth proportional to 566.82, 783.07 and 380.24 is: 525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 783.07 = 380.24 : x
  2. Step 2: Convert to fraction form
    566.82/783.07 = 380.24/x
  3. Step 3: Cross multiply
    566.82x = 783.07 × 380.24
  4. Step 4: Simplify right side
    566.82x = 297,757.01
  5. Step 5: Solve for x
    x = 297,757.01/566.82
  6. Step 6: Final answer
    x = 525.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.