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Finding the Fourth Proportional to 592.24, 818.70 and 586.72

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Solution

The fourth proportional to 592.24, 818.70 and 586.72 is: 811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.24 : 818.70 = 586.72 : x
  2. Step 2: Convert to fraction form
    592.24/818.70 = 586.72/x
  3. Step 3: Cross multiply
    592.24x = 818.70 × 586.72
  4. Step 4: Simplify right side
    592.24x = 480,347.66
  5. Step 5: Solve for x
    x = 480,347.66/592.24
  6. Step 6: Final answer
    x = 811.07

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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.