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Finding the Fourth Proportional to 872.16, 1,307.64 and 324.24

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Solution

The fourth proportional to 872.16, 1,307.64 and 324.24 is: 486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.16 : 1,307.64 = 324.24 : x
  2. Step 2: Convert to fraction form
    872.16/1,307.64 = 324.24/x
  3. Step 3: Cross multiply
    872.16x = 1,307.64 × 324.24
  4. Step 4: Simplify right side
    872.16x = 423,989.19
  5. Step 5: Solve for x
    x = 423,989.19/872.16
  6. Step 6: Final answer
    x = 486.14

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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.