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Finding the Fourth Proportional to 417.58, 574.54 and 407.33

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Solution

The fourth proportional to 417.58, 574.54 and 407.33 is: 560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.58 : 574.54 = 407.33 : x
  2. Step 2: Convert to fraction form
    417.58/574.54 = 407.33/x
  3. Step 3: Cross multiply
    417.58x = 574.54 × 407.33
  4. Step 4: Simplify right side
    417.58x = 234,027.38
  5. Step 5: Solve for x
    x = 234,027.38/417.58
  6. Step 6: Final answer
    x = 560.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.