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Finding the Fourth Proportional to 630.72, 872.64 and 514.08

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Solution

The fourth proportional to 630.72, 872.64 and 514.08 is: 711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.72 : 872.64 = 514.08 : x
  2. Step 2: Convert to fraction form
    630.72/872.64 = 514.08/x
  3. Step 3: Cross multiply
    630.72x = 872.64 × 514.08
  4. Step 4: Simplify right side
    630.72x = 448,606.77
  5. Step 5: Solve for x
    x = 448,606.77/630.72
  6. Step 6: Final answer
    x = 711.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.