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Finding the Fourth Proportional to 536.76, 738.72 and 471.15

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Solution

The fourth proportional to 536.76, 738.72 and 471.15 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 738.72 = 471.15 : x
  2. Step 2: Convert to fraction form
    536.76/738.72 = 471.15/x
  3. Step 3: Cross multiply
    536.76x = 738.72 × 471.15
  4. Step 4: Simplify right side
    536.76x = 348,047.93
  5. Step 5: Solve for x
    x = 348,047.93/536.76
  6. Step 6: Final answer
    x = 648.42

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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.