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Finding the Fourth Proportional to 472.89, 652.70 and 307.20

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Solution

The fourth proportional to 472.89, 652.70 and 307.20 is: 424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.89 : 652.70 = 307.20 : x
  2. Step 2: Convert to fraction form
    472.89/652.70 = 307.20/x
  3. Step 3: Cross multiply
    472.89x = 652.70 × 307.20
  4. Step 4: Simplify right side
    472.89x = 200,508.98
  5. Step 5: Solve for x
    x = 200,508.98/472.89
  6. Step 6: Final answer
    x = 424.00

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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.