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Finding the Fourth Proportional to 651.84, 899.16 and 415.71

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Solution

The fourth proportional to 651.84, 899.16 and 415.71 is: 573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 899.16 = 415.71 : x
  2. Step 2: Convert to fraction form
    651.84/899.16 = 415.71/x
  3. Step 3: Cross multiply
    651.84x = 899.16 × 415.71
  4. Step 4: Simplify right side
    651.84x = 373,789.80
  5. Step 5: Solve for x
    x = 373,789.80/651.84
  6. Step 6: Final answer
    x = 573.44

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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.