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Finding the Fourth Proportional to 438.01, 655.49 and 316.51

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Solution

The fourth proportional to 438.01, 655.49 and 316.51 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.01 : 655.49 = 316.51 : x
  2. Step 2: Convert to fraction form
    438.01/655.49 = 316.51/x
  3. Step 3: Cross multiply
    438.01x = 655.49 × 316.51
  4. Step 4: Simplify right side
    438.01x = 207,468.29
  5. Step 5: Solve for x
    x = 207,468.29/438.01
  6. Step 6: Final answer
    x = 473.66

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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.