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Finding the Fourth Proportional to 417.16, 572.29 and 405.78

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Solution

The fourth proportional to 417.16, 572.29 and 405.78 is: 556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.16 : 572.29 = 405.78 : x
  2. Step 2: Convert to fraction form
    417.16/572.29 = 405.78/x
  3. Step 3: Cross multiply
    417.16x = 572.29 × 405.78
  4. Step 4: Simplify right side
    417.16x = 232,223.84
  5. Step 5: Solve for x
    x = 232,223.84/417.16
  6. Step 6: Final answer
    x = 556.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.