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Finding the Fourth Proportional to 597.47, 888.98 and 582.59

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Solution

The fourth proportional to 597.47, 888.98 and 582.59 is: 866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.47 : 888.98 = 582.59 : x
  2. Step 2: Convert to fraction form
    597.47/888.98 = 582.59/x
  3. Step 3: Cross multiply
    597.47x = 888.98 × 582.59
  4. Step 4: Simplify right side
    597.47x = 517,909.40
  5. Step 5: Solve for x
    x = 517,909.40/597.47
  6. Step 6: Final answer
    x = 866.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.