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Finding the Fourth Proportional to 651.65, 899.57 and 415.91

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Solution

The fourth proportional to 651.65, 899.57 and 415.91 is: 574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.65 : 899.57 = 415.91 : x
  2. Step 2: Convert to fraction form
    651.65/899.57 = 415.91/x
  3. Step 3: Cross multiply
    651.65x = 899.57 × 415.91
  4. Step 4: Simplify right side
    651.65x = 374,140.33
  5. Step 5: Solve for x
    x = 374,140.33/651.65
  6. Step 6: Final answer
    x = 574.15

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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.