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Finding the Fourth Proportional to 566.16, 780.87 and 367.02

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Solution

The fourth proportional to 566.16, 780.87 and 367.02 is: 506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 780.87 = 367.02 : x
  2. Step 2: Convert to fraction form
    566.16/780.87 = 367.02/x
  3. Step 3: Cross multiply
    566.16x = 780.87 × 367.02
  4. Step 4: Simplify right side
    566.16x = 286,594.91
  5. Step 5: Solve for x
    x = 286,594.91/566.16
  6. Step 6: Final answer
    x = 506.21

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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.