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Finding the Fourth Proportional to 588.48, 812.14 and 429.00

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Solution

The fourth proportional to 588.48, 812.14 and 429.00 is: 592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 812.14 = 429.00 : x
  2. Step 2: Convert to fraction form
    588.48/812.14 = 429.00/x
  3. Step 3: Cross multiply
    588.48x = 812.14 × 429.00
  4. Step 4: Simplify right side
    588.48x = 348,401.85
  5. Step 5: Solve for x
    x = 348,401.85/588.48
  6. Step 6: Final answer
    x = 592.04

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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.