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Finding the Fourth Proportional to 630.86, 870.82 and 368.96

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Solution

The fourth proportional to 630.86, 870.82 and 368.96 is: 509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.86 : 870.82 = 368.96 : x
  2. Step 2: Convert to fraction form
    630.86/870.82 = 368.96/x
  3. Step 3: Cross multiply
    630.86x = 870.82 × 368.96
  4. Step 4: Simplify right side
    630.86x = 321,292.47
  5. Step 5: Solve for x
    x = 321,292.47/630.86
  6. Step 6: Final answer
    x = 509.30

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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.