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Finding the Fourth Proportional to 650.70, 897.93 and 429.66

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Solution

The fourth proportional to 650.70, 897.93 and 429.66 is: 592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.70 : 897.93 = 429.66 : x
  2. Step 2: Convert to fraction form
    650.70/897.93 = 429.66/x
  3. Step 3: Cross multiply
    650.70x = 897.93 × 429.66
  4. Step 4: Simplify right side
    650.70x = 385,804.60
  5. Step 5: Solve for x
    x = 385,804.60/650.70
  6. Step 6: Final answer
    x = 592.91

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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.