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Finding the Fourth Proportional to 602.35, 831.24 and 340.41

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Solution

The fourth proportional to 602.35, 831.24 and 340.41 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.35 : 831.24 = 340.41 : x
  2. Step 2: Convert to fraction form
    602.35/831.24 = 340.41/x
  3. Step 3: Cross multiply
    602.35x = 831.24 × 340.41
  4. Step 4: Simplify right side
    602.35x = 282,960.71
  5. Step 5: Solve for x
    x = 282,960.71/602.35
  6. Step 6: Final answer
    x = 469.77

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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.