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Finding the Fourth Proportional to 716.60, 1,075.10 and 305.52

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Solution

The fourth proportional to 716.60, 1,075.10 and 305.52 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.60 : 1,075.10 = 305.52 : x
  2. Step 2: Convert to fraction form
    716.60/1,075.10 = 305.52/x
  3. Step 3: Cross multiply
    716.60x = 1,075.10 × 305.52
  4. Step 4: Simplify right side
    716.60x = 328,463.02
  5. Step 5: Solve for x
    x = 328,463.02/716.60
  6. Step 6: Final answer
    x = 458.37

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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.