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Finding the Fourth Proportional to 631.72, 947.93 and 412.57

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Solution

The fourth proportional to 631.72, 947.93 and 412.57 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.72 : 947.93 = 412.57 : x
  2. Step 2: Convert to fraction form
    631.72/947.93 = 412.57/x
  3. Step 3: Cross multiply
    631.72x = 947.93 × 412.57
  4. Step 4: Simplify right side
    631.72x = 391,085.10
  5. Step 5: Solve for x
    x = 391,085.10/631.72
  6. Step 6: Final answer
    x = 619.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.