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Finding the Fourth Proportional to 650.53, 897.68 and 429.81

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Solution

The fourth proportional to 650.53, 897.68 and 429.81 is: 593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 897.68 = 429.81 : x
  2. Step 2: Convert to fraction form
    650.53/897.68 = 429.81/x
  3. Step 3: Cross multiply
    650.53x = 897.68 × 429.81
  4. Step 4: Simplify right side
    650.53x = 385,829.55
  5. Step 5: Solve for x
    x = 385,829.55/650.53
  6. Step 6: Final answer
    x = 593.10

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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.