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Finding the Fourth Proportional to 417.64, 623.06 and 406.90

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Solution

The fourth proportional to 417.64, 623.06 and 406.90 is: 607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.64 : 623.06 = 406.90 : x
  2. Step 2: Convert to fraction form
    417.64/623.06 = 406.90/x
  3. Step 3: Cross multiply
    417.64x = 623.06 × 406.90
  4. Step 4: Simplify right side
    417.64x = 253,523.11
  5. Step 5: Solve for x
    x = 253,523.11/417.64
  6. Step 6: Final answer
    x = 607.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.