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Finding the Fourth Proportional to 472.77, 652.50 and 386.10

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Solution

The fourth proportional to 472.77, 652.50 and 386.10 is: 532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.77 : 652.50 = 386.10 : x
  2. Step 2: Convert to fraction form
    472.77/652.50 = 386.10/x
  3. Step 3: Cross multiply
    472.77x = 652.50 × 386.10
  4. Step 4: Simplify right side
    472.77x = 251,930.25
  5. Step 5: Solve for x
    x = 251,930.25/472.77
  6. Step 6: Final answer
    x = 532.88

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