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Finding the Fourth Proportional to 592.79, 818.30 and 566.66

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Solution

The fourth proportional to 592.79, 818.30 and 566.66 is: 782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.79 : 818.30 = 566.66 : x
  2. Step 2: Convert to fraction form
    592.79/818.30 = 566.66/x
  3. Step 3: Cross multiply
    592.79x = 818.30 × 566.66
  4. Step 4: Simplify right side
    592.79x = 463,701.34
  5. Step 5: Solve for x
    x = 463,701.34/592.79
  6. Step 6: Final answer
    x = 782.24

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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.