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Finding the Fourth Proportional to 716.23, 1,073.98 and 305.14

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Solution

The fourth proportional to 716.23, 1,073.98 and 305.14 is: 457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.23 : 1,073.98 = 305.14 : x
  2. Step 2: Convert to fraction form
    716.23/1,073.98 = 305.14/x
  3. Step 3: Cross multiply
    716.23x = 1,073.98 × 305.14
  4. Step 4: Simplify right side
    716.23x = 327,714.26
  5. Step 5: Solve for x
    x = 327,714.26/716.23
  6. Step 6: Final answer
    x = 457.55

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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.