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Finding the Fourth Proportional to 417.80, 625.08 and 416.72

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Solution

The fourth proportional to 417.80, 625.08 and 416.72 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.80 : 625.08 = 416.72 : x
  2. Step 2: Convert to fraction form
    417.80/625.08 = 416.72/x
  3. Step 3: Cross multiply
    417.80x = 625.08 × 416.72
  4. Step 4: Simplify right side
    417.80x = 260,483.34
  5. Step 5: Solve for x
    x = 260,483.34/417.80
  6. Step 6: Final answer
    x = 623.46

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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.