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Finding the Fourth Proportional to 503.16, 749.21 and 497.65

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Solution

The fourth proportional to 503.16, 749.21 and 497.65 is: 741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 749.21 = 497.65 : x
  2. Step 2: Convert to fraction form
    503.16/749.21 = 497.65/x
  3. Step 3: Cross multiply
    503.16x = 749.21 × 497.65
  4. Step 4: Simplify right side
    503.16x = 372,843.73
  5. Step 5: Solve for x
    x = 372,843.73/503.16
  6. Step 6: Final answer
    x = 741.00

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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.