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Finding the Fourth Proportional to 473.10, 652.87 and 284.16

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Solution

The fourth proportional to 473.10, 652.87 and 284.16 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.10 : 652.87 = 284.16 : x
  2. Step 2: Convert to fraction form
    473.10/652.87 = 284.16/x
  3. Step 3: Cross multiply
    473.10x = 652.87 × 284.16
  4. Step 4: Simplify right side
    473.10x = 185,519.54
  5. Step 5: Solve for x
    x = 185,519.54/473.10
  6. Step 6: Final answer
    x = 392.14

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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.