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Finding the Fourth Proportional to 588.54, 809.28 and 522.93

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Solution

The fourth proportional to 588.54, 809.28 and 522.93 is: 719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.54 : 809.28 = 522.93 : x
  2. Step 2: Convert to fraction form
    588.54/809.28 = 522.93/x
  3. Step 3: Cross multiply
    588.54x = 809.28 × 522.93
  4. Step 4: Simplify right side
    588.54x = 423,196.79
  5. Step 5: Solve for x
    x = 423,196.79/588.54
  6. Step 6: Final answer
    x = 719.06

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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.