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Finding the Fourth Proportional to 587.71, 810.43 and 505.09

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Solution

The fourth proportional to 587.71, 810.43 and 505.09 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.71 : 810.43 = 505.09 : x
  2. Step 2: Convert to fraction form
    587.71/810.43 = 505.09/x
  3. Step 3: Cross multiply
    587.71x = 810.43 × 505.09
  4. Step 4: Simplify right side
    587.71x = 409,340.09
  5. Step 5: Solve for x
    x = 409,340.09/587.71
  6. Step 6: Final answer
    x = 696.50

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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.