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Finding the Fourth Proportional to 651.67, 899.30 and 402.93

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Solution

The fourth proportional to 651.67, 899.30 and 402.93 is: 556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.67 : 899.30 = 402.93 : x
  2. Step 2: Convert to fraction form
    651.67/899.30 = 402.93/x
  3. Step 3: Cross multiply
    651.67x = 899.30 × 402.93
  4. Step 4: Simplify right side
    651.67x = 362,355.96
  5. Step 5: Solve for x
    x = 362,355.96/651.67
  6. Step 6: Final answer
    x = 556.04

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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.