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Finding the Fourth Proportional to 602.44, 831.47 and 340.40

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Solution

The fourth proportional to 602.44, 831.47 and 340.40 is: 469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.44 : 831.47 = 340.40 : x
  2. Step 2: Convert to fraction form
    602.44/831.47 = 340.40/x
  3. Step 3: Cross multiply
    602.44x = 831.47 × 340.40
  4. Step 4: Simplify right side
    602.44x = 283,032.76
  5. Step 5: Solve for x
    x = 283,032.76/602.44
  6. Step 6: Final answer
    x = 469.81

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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.