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Finding the Fourth Proportional to 597.92, 891.36 and 588.56

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Solution

The fourth proportional to 597.92, 891.36 and 588.56 is: 877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 891.36 = 588.56 : x
  2. Step 2: Convert to fraction form
    597.92/891.36 = 588.56/x
  3. Step 3: Cross multiply
    597.92x = 891.36 × 588.56
  4. Step 4: Simplify right side
    597.92x = 524,618.84
  5. Step 5: Solve for x
    x = 524,618.84/597.92
  6. Step 6: Final answer
    x = 877.41

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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.