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Finding the Fourth Proportional to 602.53, 902.16 and 313.36

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Solution

The fourth proportional to 602.53, 902.16 and 313.36 is: 469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.53 : 902.16 = 313.36 : x
  2. Step 2: Convert to fraction form
    602.53/902.16 = 313.36/x
  3. Step 3: Cross multiply
    602.53x = 902.16 × 313.36
  4. Step 4: Simplify right side
    602.53x = 282,700.86
  5. Step 5: Solve for x
    x = 282,700.86/602.53
  6. Step 6: Final answer
    x = 469.19

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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.