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Finding the Fourth Proportional to 587.56, 811.48 and 410.98

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Solution

The fourth proportional to 587.56, 811.48 and 410.98 is: 567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.56 : 811.48 = 410.98 : x
  2. Step 2: Convert to fraction form
    587.56/811.48 = 410.98/x
  3. Step 3: Cross multiply
    587.56x = 811.48 × 410.98
  4. Step 4: Simplify right side
    587.56x = 333,502.05
  5. Step 5: Solve for x
    x = 333,502.05/587.56
  6. Step 6: Final answer
    x = 567.61

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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.