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Finding the Fourth Proportional to 651.68, 899.61 and 415.94

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Solution

The fourth proportional to 651.68, 899.61 and 415.94 is: 574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.68 : 899.61 = 415.94 : x
  2. Step 2: Convert to fraction form
    651.68/899.61 = 415.94/x
  3. Step 3: Cross multiply
    651.68x = 899.61 × 415.94
  4. Step 4: Simplify right side
    651.68x = 374,188.83
  5. Step 5: Solve for x
    x = 374,188.83/651.68
  6. Step 6: Final answer
    x = 574.19

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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.