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Finding the Fourth Proportional to 498.53, 746.58 and 292.47

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Solution

The fourth proportional to 498.53, 746.58 and 292.47 is: 438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 746.58 = 292.47 : x
  2. Step 2: Convert to fraction form
    498.53/746.58 = 292.47/x
  3. Step 3: Cross multiply
    498.53x = 746.58 × 292.47
  4. Step 4: Simplify right side
    498.53x = 218,352.25
  5. Step 5: Solve for x
    x = 218,352.25/498.53
  6. Step 6: Final answer
    x = 438.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.