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Finding the Fourth Proportional to 651.88, 900.16 and 416.28

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Solution

The fourth proportional to 651.88, 900.16 and 416.28 is: 574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.88 : 900.16 = 416.28 : x
  2. Step 2: Convert to fraction form
    651.88/900.16 = 416.28/x
  3. Step 3: Cross multiply
    651.88x = 900.16 × 416.28
  4. Step 4: Simplify right side
    651.88x = 374,718.60
  5. Step 5: Solve for x
    x = 374,718.60/651.88
  6. Step 6: Final answer
    x = 574.83

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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.