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Finding the Fourth Proportional to 498.16, 743.66 and 465.52

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Solution

The fourth proportional to 498.16, 743.66 and 465.52 is: 694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.16 : 743.66 = 465.52 : x
  2. Step 2: Convert to fraction form
    498.16/743.66 = 465.52/x
  3. Step 3: Cross multiply
    498.16x = 743.66 × 465.52
  4. Step 4: Simplify right side
    498.16x = 346,188.60
  5. Step 5: Solve for x
    x = 346,188.60/498.16
  6. Step 6: Final answer
    x = 694.93

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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.