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Finding the Fourth Proportional to 602.19, 831.06 and 340.29

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Solution

The fourth proportional to 602.19, 831.06 and 340.29 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.19 : 831.06 = 340.29 : x
  2. Step 2: Convert to fraction form
    602.19/831.06 = 340.29/x
  3. Step 3: Cross multiply
    602.19x = 831.06 × 340.29
  4. Step 4: Simplify right side
    602.19x = 282,801.41
  5. Step 5: Solve for x
    x = 282,801.41/602.19
  6. Step 6: Final answer
    x = 469.62

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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.