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Finding the Fourth Proportional to 503.87, 749.30 and 498.47

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Solution

The fourth proportional to 503.87, 749.30 and 498.47 is: 741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.87 : 749.30 = 498.47 : x
  2. Step 2: Convert to fraction form
    503.87/749.30 = 498.47/x
  3. Step 3: Cross multiply
    503.87x = 749.30 × 498.47
  4. Step 4: Simplify right side
    503.87x = 373,501.08
  5. Step 5: Solve for x
    x = 373,501.08/503.87
  6. Step 6: Final answer
    x = 741.26

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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.