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Finding the Fourth Proportional to 581.76, 872.85 and 417.66

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Solution

The fourth proportional to 581.76, 872.85 and 417.66 is: 626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 872.85 = 417.66 : x
  2. Step 2: Convert to fraction form
    581.76/872.85 = 417.66/x
  3. Step 3: Cross multiply
    581.76x = 872.85 × 417.66
  4. Step 4: Simplify right side
    581.76x = 364,551.65
  5. Step 5: Solve for x
    x = 364,551.65/581.76
  6. Step 6: Final answer
    x = 626.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.