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Finding the Fourth Proportional to 602.52, 902.61 and 313.26

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Solution

The fourth proportional to 602.52, 902.61 and 313.26 is: 469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.52 : 902.61 = 313.26 : x
  2. Step 2: Convert to fraction form
    602.52/902.61 = 313.26/x
  3. Step 3: Cross multiply
    602.52x = 902.61 × 313.26
  4. Step 4: Simplify right side
    602.52x = 282,751.61
  5. Step 5: Solve for x
    x = 282,751.61/602.52
  6. Step 6: Final answer
    x = 469.28

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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.