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Finding the Fourth Proportional to 631.12, 870.88 and 369.12

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Solution

The fourth proportional to 631.12, 870.88 and 369.12 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.12 : 870.88 = 369.12 : x
  2. Step 2: Convert to fraction form
    631.12/870.88 = 369.12/x
  3. Step 3: Cross multiply
    631.12x = 870.88 × 369.12
  4. Step 4: Simplify right side
    631.12x = 321,459.23
  5. Step 5: Solve for x
    x = 321,459.23/631.12
  6. Step 6: Final answer
    x = 509.35

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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.