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Finding the Fourth Proportional to 602.88, 902.69 and 313.71

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Solution

The fourth proportional to 602.88, 902.69 and 313.71 is: 469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.88 : 902.69 = 313.71 : x
  2. Step 2: Convert to fraction form
    602.88/902.69 = 313.71/x
  3. Step 3: Cross multiply
    602.88x = 902.69 × 313.71
  4. Step 4: Simplify right side
    602.88x = 283,182.88
  5. Step 5: Solve for x
    x = 283,182.88/602.88
  6. Step 6: Final answer
    x = 469.72

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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.