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Finding the Fourth Proportional to 472.54, 707.10 and 385.66

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Solution

The fourth proportional to 472.54, 707.10 and 385.66 is: 577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.54 : 707.10 = 385.66 : x
  2. Step 2: Convert to fraction form
    472.54/707.10 = 385.66/x
  3. Step 3: Cross multiply
    472.54x = 707.10 × 385.66
  4. Step 4: Simplify right side
    472.54x = 272,700.19
  5. Step 5: Solve for x
    x = 272,700.19/472.54
  6. Step 6: Final answer
    x = 577.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.