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Finding the Fourth Proportional to 650.46, 897.77 and 429.53

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Solution

The fourth proportional to 650.46, 897.77 and 429.53 is: 592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.46 : 897.77 = 429.53 : x
  2. Step 2: Convert to fraction form
    650.46/897.77 = 429.53/x
  3. Step 3: Cross multiply
    650.46x = 897.77 × 429.53
  4. Step 4: Simplify right side
    650.46x = 385,617.00
  5. Step 5: Solve for x
    x = 385,617.00/650.46
  6. Step 6: Final answer
    x = 592.84

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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.