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Finding the Fourth Proportional to 471.52, 705.84 and 417.76

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Solution

The fourth proportional to 471.52, 705.84 and 417.76 is: 625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.52 : 705.84 = 417.76 : x
  2. Step 2: Convert to fraction form
    471.52/705.84 = 417.76/x
  3. Step 3: Cross multiply
    471.52x = 705.84 × 417.76
  4. Step 4: Simplify right side
    471.52x = 294,871.72
  5. Step 5: Solve for x
    x = 294,871.72/471.52
  6. Step 6: Final answer
    x = 625.36

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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.