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Finding the Fourth Proportional to 581.65, 801.84 and 415.80

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Solution

The fourth proportional to 581.65, 801.84 and 415.80 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.65 : 801.84 = 415.80 : x
  2. Step 2: Convert to fraction form
    581.65/801.84 = 415.80/x
  3. Step 3: Cross multiply
    581.65x = 801.84 × 415.80
  4. Step 4: Simplify right side
    581.65x = 333,406.63
  5. Step 5: Solve for x
    x = 333,406.63/581.65
  6. Step 6: Final answer
    x = 573.21

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