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Finding the Fourth Proportional to 498.66, 688.16 and 302.24

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Solution

The fourth proportional to 498.66, 688.16 and 302.24 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.66 : 688.16 = 302.24 : x
  2. Step 2: Convert to fraction form
    498.66/688.16 = 302.24/x
  3. Step 3: Cross multiply
    498.66x = 688.16 × 302.24
  4. Step 4: Simplify right side
    498.66x = 207,984.53
  5. Step 5: Solve for x
    x = 207,984.53/498.66
  6. Step 6: Final answer
    x = 417.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.