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Finding the Fourth Proportional to 503.42, 749.85 and 497.12

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Solution

The fourth proportional to 503.42, 749.85 and 497.12 is: 740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.42 : 749.85 = 497.12 : x
  2. Step 2: Convert to fraction form
    503.42/749.85 = 497.12/x
  3. Step 3: Cross multiply
    503.42x = 749.85 × 497.12
  4. Step 4: Simplify right side
    503.42x = 372,759.82
  5. Step 5: Solve for x
    x = 372,759.82/503.42
  6. Step 6: Final answer
    x = 740.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.