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Finding the Fourth Proportional to 592.11, 811.62 and 570.24

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Solution

The fourth proportional to 592.11, 811.62 and 570.24 is: 781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.11 : 811.62 = 570.24 : x
  2. Step 2: Convert to fraction form
    592.11/811.62 = 570.24/x
  3. Step 3: Cross multiply
    592.11x = 811.62 × 570.24
  4. Step 4: Simplify right side
    592.11x = 462,818.19
  5. Step 5: Solve for x
    x = 462,818.19/592.11
  6. Step 6: Final answer
    x = 781.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.