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Finding the Fourth Proportional to 630.72, 870.41 and 368.82

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Solution

The fourth proportional to 630.72, 870.41 and 368.82 is: 508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.72 : 870.41 = 368.82 : x
  2. Step 2: Convert to fraction form
    630.72/870.41 = 368.82/x
  3. Step 3: Cross multiply
    630.72x = 870.41 × 368.82
  4. Step 4: Simplify right side
    630.72x = 321,025.54
  5. Step 5: Solve for x
    x = 321,025.54/630.72
  6. Step 6: Final answer
    x = 508.98

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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.