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Finding the Fourth Proportional to 651.18, 899.10 and 402.84

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Solution

The fourth proportional to 651.18, 899.10 and 402.84 is: 556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.18 : 899.10 = 402.84 : x
  2. Step 2: Convert to fraction form
    651.18/899.10 = 402.84/x
  3. Step 3: Cross multiply
    651.18x = 899.10 × 402.84
  4. Step 4: Simplify right side
    651.18x = 362,193.44
  5. Step 5: Solve for x
    x = 362,193.44/651.18
  6. Step 6: Final answer
    x = 556.21

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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.