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Finding the Fourth Proportional to 602.70, 902.40 and 313.56

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Solution

The fourth proportional to 602.70, 902.40 and 313.56 is: 469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.70 : 902.40 = 313.56 : x
  2. Step 2: Convert to fraction form
    602.70/902.40 = 313.56/x
  3. Step 3: Cross multiply
    602.70x = 902.40 × 313.56
  4. Step 4: Simplify right side
    602.70x = 282,956.54
  5. Step 5: Solve for x
    x = 282,956.54/602.70
  6. Step 6: Final answer
    x = 469.48

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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.