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Finding the Fourth Proportional to 630.72, 870.74 and 482.89

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Solution

The fourth proportional to 630.72, 870.74 and 482.89 is: 666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.72 : 870.74 = 482.89 : x
  2. Step 2: Convert to fraction form
    630.72/870.74 = 482.89/x
  3. Step 3: Cross multiply
    630.72x = 870.74 × 482.89
  4. Step 4: Simplify right side
    630.72x = 420,471.64
  5. Step 5: Solve for x
    x = 420,471.64/630.72
  6. Step 6: Final answer
    x = 666.65

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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.