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Finding the Fourth Proportional to 602.51, 902.12 and 313.34

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Solution

The fourth proportional to 602.51, 902.12 and 313.34 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.51 : 902.12 = 313.34 : x
  2. Step 2: Convert to fraction form
    602.51/902.12 = 313.34/x
  3. Step 3: Cross multiply
    602.51x = 902.12 × 313.34
  4. Step 4: Simplify right side
    602.51x = 282,664.20
  5. Step 5: Solve for x
    x = 282,664.20/602.51
  6. Step 6: Final answer
    x = 469.15

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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.