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Finding the Fourth Proportional to 577.05, 795.79 and 380.22

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Solution

The fourth proportional to 577.05, 795.79 and 380.22 is: 524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.05 : 795.79 = 380.22 : x
  2. Step 2: Convert to fraction form
    577.05/795.79 = 380.22/x
  3. Step 3: Cross multiply
    577.05x = 795.79 × 380.22
  4. Step 4: Simplify right side
    577.05x = 302,569.39
  5. Step 5: Solve for x
    x = 302,569.39/577.05
  6. Step 6: Final answer
    x = 524.34

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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.