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Finding the Fourth Proportional to 407.54, 606.85 and 401.72

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Solution

The fourth proportional to 407.54, 606.85 and 401.72 is: 598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.54 : 606.85 = 401.72 : x
  2. Step 2: Convert to fraction form
    407.54/606.85 = 401.72/x
  3. Step 3: Cross multiply
    407.54x = 606.85 × 401.72
  4. Step 4: Simplify right side
    407.54x = 243,783.78
  5. Step 5: Solve for x
    x = 243,783.78/407.54
  6. Step 6: Final answer
    x = 598.18

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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.