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Finding the Fourth Proportional to 602.42, 831.93 and 514.58

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Solution

The fourth proportional to 602.42, 831.93 and 514.58 is: 710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 831.93 = 514.58 : x
  2. Step 2: Convert to fraction form
    602.42/831.93 = 514.58/x
  3. Step 3: Cross multiply
    602.42x = 831.93 × 514.58
  4. Step 4: Simplify right side
    602.42x = 428,094.54
  5. Step 5: Solve for x
    x = 428,094.54/602.42
  6. Step 6: Final answer
    x = 710.62

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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.