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Finding the Fourth Proportional to 902.30, 1,353.17 and 469.22

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Solution

The fourth proportional to 902.30, 1,353.17 and 469.22 is: 703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.30 : 1,353.17 = 469.22 : x
  2. Step 2: Convert to fraction form
    902.30/1,353.17 = 469.22/x
  3. Step 3: Cross multiply
    902.30x = 1,353.17 × 469.22
  4. Step 4: Simplify right side
    902.30x = 634,925.32
  5. Step 5: Solve for x
    x = 634,925.32/902.30
  6. Step 6: Final answer
    x = 703.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.