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Finding the Fourth Proportional to 437.12, 602.51 and 270.96

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Solution

The fourth proportional to 437.12, 602.51 and 270.96 is: 373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.12 : 602.51 = 270.96 : x
  2. Step 2: Convert to fraction form
    437.12/602.51 = 270.96/x
  3. Step 3: Cross multiply
    437.12x = 602.51 × 270.96
  4. Step 4: Simplify right side
    437.12x = 163,254.75
  5. Step 5: Solve for x
    x = 163,254.75/437.12
  6. Step 6: Final answer
    x = 373.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.