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Finding the Fourth Proportional to 630.52, 870.07 and 350.74

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Solution

The fourth proportional to 630.52, 870.07 and 350.74 is: 483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.52 : 870.07 = 350.74 : x
  2. Step 2: Convert to fraction form
    630.52/870.07 = 350.74/x
  3. Step 3: Cross multiply
    630.52x = 870.07 × 350.74
  4. Step 4: Simplify right side
    630.52x = 305,168.35
  5. Step 5: Solve for x
    x = 305,168.35/630.52
  6. Step 6: Final answer
    x = 483.99

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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.