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Finding the Fourth Proportional to 632.57, 947.63 and 339.35

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Solution

The fourth proportional to 632.57, 947.63 and 339.35 is: 508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.57 : 947.63 = 339.35 : x
  2. Step 2: Convert to fraction form
    632.57/947.63 = 339.35/x
  3. Step 3: Cross multiply
    632.57x = 947.63 × 339.35
  4. Step 4: Simplify right side
    632.57x = 321,574.35
  5. Step 5: Solve for x
    x = 321,574.35/632.57
  6. Step 6: Final answer
    x = 508.37

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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.