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Finding the Fourth Proportional to 498.45, 742.59 and 467.02

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Solution

The fourth proportional to 498.45, 742.59 and 467.02 is: 695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.45 : 742.59 = 467.02 : x
  2. Step 2: Convert to fraction form
    498.45/742.59 = 467.02/x
  3. Step 3: Cross multiply
    498.45x = 742.59 × 467.02
  4. Step 4: Simplify right side
    498.45x = 346,802.45
  5. Step 5: Solve for x
    x = 346,802.45/498.45
  6. Step 6: Final answer
    x = 695.76

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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.