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Finding the Fourth Proportional to 630.98, 870.68 and 369.02

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Solution

The fourth proportional to 630.98, 870.68 and 369.02 is: 509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.98 : 870.68 = 369.02 : x
  2. Step 2: Convert to fraction form
    630.98/870.68 = 369.02/x
  3. Step 3: Cross multiply
    630.98x = 870.68 × 369.02
  4. Step 4: Simplify right side
    630.98x = 321,298.33
  5. Step 5: Solve for x
    x = 321,298.33/630.98
  6. Step 6: Final answer
    x = 509.21

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