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Finding the Fourth Proportional to 597.66, 824.98 and 514.44

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Solution

The fourth proportional to 597.66, 824.98 and 514.44 is: 710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 824.98 = 514.44 : x
  2. Step 2: Convert to fraction form
    597.66/824.98 = 514.44/x
  3. Step 3: Cross multiply
    597.66x = 824.98 × 514.44
  4. Step 4: Simplify right side
    597.66x = 424,402.71
  5. Step 5: Solve for x
    x = 424,402.71/597.66
  6. Step 6: Final answer
    x = 710.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.