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Finding the Fourth Proportional to 716.40, 1,074.06 and 305.10

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Solution

The fourth proportional to 716.40, 1,074.06 and 305.10 is: 457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.40 : 1,074.06 = 305.10 : x
  2. Step 2: Convert to fraction form
    716.40/1,074.06 = 305.10/x
  3. Step 3: Cross multiply
    716.40x = 1,074.06 × 305.10
  4. Step 4: Simplify right side
    716.40x = 327,695.71
  5. Step 5: Solve for x
    x = 327,695.71/716.40
  6. Step 6: Final answer
    x = 457.42

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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.