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Finding the Fourth Proportional to 597.65, 891.47 and 588.53

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Solution

The fourth proportional to 597.65, 891.47 and 588.53 is: 877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.65 : 891.47 = 588.53 : x
  2. Step 2: Convert to fraction form
    597.65/891.47 = 588.53/x
  3. Step 3: Cross multiply
    597.65x = 891.47 × 588.53
  4. Step 4: Simplify right side
    597.65x = 524,660.54
  5. Step 5: Solve for x
    x = 524,660.54/597.65
  6. Step 6: Final answer
    x = 877.88

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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.