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Finding the Fourth Proportional to 521.35, 719.49 and 288.49

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Solution

The fourth proportional to 521.35, 719.49 and 288.49 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.35 : 719.49 = 288.49 : x
  2. Step 2: Convert to fraction form
    521.35/719.49 = 288.49/x
  3. Step 3: Cross multiply
    521.35x = 719.49 × 288.49
  4. Step 4: Simplify right side
    521.35x = 207,565.67
  5. Step 5: Solve for x
    x = 207,565.67/521.35
  6. Step 6: Final answer
    x = 398.13

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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.