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Finding the Fourth Proportional to 717.16, 1,075.74 and 332.68

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Solution

The fourth proportional to 717.16, 1,075.74 and 332.68 is: 499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.16 : 1,075.74 = 332.68 : x
  2. Step 2: Convert to fraction form
    717.16/1,075.74 = 332.68/x
  3. Step 3: Cross multiply
    717.16x = 1,075.74 × 332.68
  4. Step 4: Simplify right side
    717.16x = 357,877.18
  5. Step 5: Solve for x
    x = 357,877.18/717.16
  6. Step 6: Final answer
    x = 499.02

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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.