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Finding the Fourth Proportional to 438.14, 657.30 and 316.10

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Solution

The fourth proportional to 438.14, 657.30 and 316.10 is: 474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.14 : 657.30 = 316.10 : x
  2. Step 2: Convert to fraction form
    438.14/657.30 = 316.10/x
  3. Step 3: Cross multiply
    438.14x = 657.30 × 316.10
  4. Step 4: Simplify right side
    438.14x = 207,772.53
  5. Step 5: Solve for x
    x = 207,772.53/438.14
  6. Step 6: Final answer
    x = 474.21

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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.