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Finding the Fourth Proportional to 716.79, 1,075.24 and 305.93

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Solution

The fourth proportional to 716.79, 1,075.24 and 305.93 is: 458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.79 : 1,075.24 = 305.93 : x
  2. Step 2: Convert to fraction form
    716.79/1,075.24 = 305.93/x
  3. Step 3: Cross multiply
    716.79x = 1,075.24 × 305.93
  4. Step 4: Simplify right side
    716.79x = 328,948.17
  5. Step 5: Solve for x
    x = 328,948.17/716.79
  6. Step 6: Final answer
    x = 458.92

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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.