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Finding the Fourth Proportional to 591.57, 816.35 and 417.15

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Solution

The fourth proportional to 591.57, 816.35 and 417.15 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.57 : 816.35 = 417.15 : x
  2. Step 2: Convert to fraction form
    591.57/816.35 = 417.15/x
  3. Step 3: Cross multiply
    591.57x = 816.35 × 417.15
  4. Step 4: Simplify right side
    591.57x = 340,538.32
  5. Step 5: Solve for x
    x = 340,538.32/591.57
  6. Step 6: Final answer
    x = 575.65

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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.