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Finding the Fourth Proportional to 650.84, 897.28 and 429.71

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Solution

The fourth proportional to 650.84, 897.28 and 429.71 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.84 : 897.28 = 429.71 : x
  2. Step 2: Convert to fraction form
    650.84/897.28 = 429.71/x
  3. Step 3: Cross multiply
    650.84x = 897.28 × 429.71
  4. Step 4: Simplify right side
    650.84x = 385,564.63
  5. Step 5: Solve for x
    x = 385,564.63/650.84
  6. Step 6: Final answer
    x = 592.42

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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.