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Finding the Fourth Proportional to 597.60, 813.60 and 592.20

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Solution

The fourth proportional to 597.60, 813.60 and 592.20 is: 806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.60 : 813.60 = 592.20 : x
  2. Step 2: Convert to fraction form
    597.60/813.60 = 592.20/x
  3. Step 3: Cross multiply
    597.60x = 813.60 × 592.20
  4. Step 4: Simplify right side
    597.60x = 481,813.92
  5. Step 5: Solve for x
    x = 481,813.92/597.60
  6. Step 6: Final answer
    x = 806.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.