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Finding the Fourth Proportional to 597.32, 891.76 and 510.68

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Solution

The fourth proportional to 597.32, 891.76 and 510.68 is: 762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.32 : 891.76 = 510.68 : x
  2. Step 2: Convert to fraction form
    597.32/891.76 = 510.68/x
  3. Step 3: Cross multiply
    597.32x = 891.76 × 510.68
  4. Step 4: Simplify right side
    597.32x = 455,404.00
  5. Step 5: Solve for x
    x = 455,404.00/597.32
  6. Step 6: Final answer
    x = 762.41

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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.