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Finding the Fourth Proportional to 588.65, 812.63 and 414.77

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Solution

The fourth proportional to 588.65, 812.63 and 414.77 is: 572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.65 : 812.63 = 414.77 : x
  2. Step 2: Convert to fraction form
    588.65/812.63 = 414.77/x
  3. Step 3: Cross multiply
    588.65x = 812.63 × 414.77
  4. Step 4: Simplify right side
    588.65x = 337,051.52
  5. Step 5: Solve for x
    x = 337,051.52/588.65
  6. Step 6: Final answer
    x = 572.59

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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.