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Finding the Fourth Proportional to 653.21, 901.50 and 542.49

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Solution

The fourth proportional to 653.21, 901.50 and 542.49 is: 748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.21 : 901.50 = 542.49 : x
  2. Step 2: Convert to fraction form
    653.21/901.50 = 542.49/x
  3. Step 3: Cross multiply
    653.21x = 901.50 × 542.49
  4. Step 4: Simplify right side
    653.21x = 489,054.74
  5. Step 5: Solve for x
    x = 489,054.74/653.21
  6. Step 6: Final answer
    x = 748.70

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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.