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Finding the Fourth Proportional to 650.17, 975.03 and 467.02

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Solution

The fourth proportional to 650.17, 975.03 and 467.02 is: 700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.17 : 975.03 = 467.02 : x
  2. Step 2: Convert to fraction form
    650.17/975.03 = 467.02/x
  3. Step 3: Cross multiply
    650.17x = 975.03 × 467.02
  4. Step 4: Simplify right side
    650.17x = 455,358.51
  5. Step 5: Solve for x
    x = 455,358.51/650.17
  6. Step 6: Final answer
    x = 700.37

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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.