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Finding the Fourth Proportional to 498.48, 742.80 and 466.08

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Solution

The fourth proportional to 498.48, 742.80 and 466.08 is: 694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.48 : 742.80 = 466.08 : x
  2. Step 2: Convert to fraction form
    498.48/742.80 = 466.08/x
  3. Step 3: Cross multiply
    498.48x = 742.80 × 466.08
  4. Step 4: Simplify right side
    498.48x = 346,204.22
  5. Step 5: Solve for x
    x = 346,204.22/498.48
  6. Step 6: Final answer
    x = 694.52

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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.