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Finding the Fourth Proportional to 602.16, 902.16 and 313.80

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Solution

The fourth proportional to 602.16, 902.16 and 313.80 is: 470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 902.16 = 313.80 : x
  2. Step 2: Convert to fraction form
    602.16/902.16 = 313.80/x
  3. Step 3: Cross multiply
    602.16x = 902.16 × 313.80
  4. Step 4: Simplify right side
    602.16x = 283,097.81
  5. Step 5: Solve for x
    x = 283,097.81/602.16
  6. Step 6: Final answer
    x = 470.14

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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.