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Finding the Fourth Proportional to 602.58, 831.72 and 353.94

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Solution

The fourth proportional to 602.58, 831.72 and 353.94 is: 488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.58 : 831.72 = 353.94 : x
  2. Step 2: Convert to fraction form
    602.58/831.72 = 353.94/x
  3. Step 3: Cross multiply
    602.58x = 831.72 × 353.94
  4. Step 4: Simplify right side
    602.58x = 294,378.98
  5. Step 5: Solve for x
    x = 294,378.98/602.58
  6. Step 6: Final answer
    x = 488.53

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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.