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Finding the Fourth Proportional to 602.58, 831.42 and 340.61

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Solution

The fourth proportional to 602.58, 831.42 and 340.61 is: 469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.58 : 831.42 = 340.61 : x
  2. Step 2: Convert to fraction form
    602.58/831.42 = 340.61/x
  3. Step 3: Cross multiply
    602.58x = 831.42 × 340.61
  4. Step 4: Simplify right side
    602.58x = 283,185.81
  5. Step 5: Solve for x
    x = 283,185.81/602.58
  6. Step 6: Final answer
    x = 469.96

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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.