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Finding the Fourth Proportional to 597.38, 891.86 and 510.74

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Solution

The fourth proportional to 597.38, 891.86 and 510.74 is: 762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.38 : 891.86 = 510.74 : x
  2. Step 2: Convert to fraction form
    597.38/891.86 = 510.74/x
  3. Step 3: Cross multiply
    597.38x = 891.86 × 510.74
  4. Step 4: Simplify right side
    597.38x = 455,507.78
  5. Step 5: Solve for x
    x = 455,507.78/597.38
  6. Step 6: Final answer
    x = 762.52

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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.