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Finding the Fourth Proportional to 417.10, 584.75 and 417.10

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Solution

The fourth proportional to 417.10, 584.75 and 417.10 is: 584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.10 : 584.75 = 417.10 : x
  2. Step 2: Convert to fraction form
    417.10/584.75 = 417.10/x
  3. Step 3: Cross multiply
    417.10x = 584.75 × 417.10
  4. Step 4: Simplify right side
    417.10x = 243,899.23
  5. Step 5: Solve for x
    x = 243,899.23/417.10
  6. Step 6: Final answer
    x = 584.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.