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Finding the Fourth Proportional to 602.66, 902.90 and 313.22

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Solution

The fourth proportional to 602.66, 902.90 and 313.22 is: 469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.66 : 902.90 = 313.22 : x
  2. Step 2: Convert to fraction form
    602.66/902.90 = 313.22/x
  3. Step 3: Cross multiply
    602.66x = 902.90 × 313.22
  4. Step 4: Simplify right side
    602.66x = 282,806.34
  5. Step 5: Solve for x
    x = 282,806.34/602.66
  6. Step 6: Final answer
    x = 469.26

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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.