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Finding the Fourth Proportional to 498.71, 688.16 and 277.65

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Solution

The fourth proportional to 498.71, 688.16 and 277.65 is: 383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.71 : 688.16 = 277.65 : x
  2. Step 2: Convert to fraction form
    498.71/688.16 = 277.65/x
  3. Step 3: Cross multiply
    498.71x = 688.16 × 277.65
  4. Step 4: Simplify right side
    498.71x = 191,066.24
  5. Step 5: Solve for x
    x = 191,066.24/498.71
  6. Step 6: Final answer
    x = 383.12

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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.