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Finding the Fourth Proportional to 602.34, 831.12 and 340.38

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Solution

The fourth proportional to 602.34, 831.12 and 340.38 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.34 : 831.12 = 340.38 : x
  2. Step 2: Convert to fraction form
    602.34/831.12 = 340.38/x
  3. Step 3: Cross multiply
    602.34x = 831.12 × 340.38
  4. Step 4: Simplify right side
    602.34x = 282,896.63
  5. Step 5: Solve for x
    x = 282,896.63/602.34
  6. Step 6: Final answer
    x = 469.66

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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.