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Finding the Fourth Proportional to 631.36, 870.56 and 514.56

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Solution

The fourth proportional to 631.36, 870.56 and 514.56 is: 709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.36 : 870.56 = 514.56 : x
  2. Step 2: Convert to fraction form
    631.36/870.56 = 514.56/x
  3. Step 3: Cross multiply
    631.36x = 870.56 × 514.56
  4. Step 4: Simplify right side
    631.36x = 447,955.35
  5. Step 5: Solve for x
    x = 447,955.35/631.36
  6. Step 6: Final answer
    x = 709.51

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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.