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Finding the Fourth Proportional to 587.33, 810.24 and 412.77

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Solution

The fourth proportional to 587.33, 810.24 and 412.77 is: 569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.33 : 810.24 = 412.77 : x
  2. Step 2: Convert to fraction form
    587.33/810.24 = 412.77/x
  3. Step 3: Cross multiply
    587.33x = 810.24 × 412.77
  4. Step 4: Simplify right side
    587.33x = 334,440.70
  5. Step 5: Solve for x
    x = 334,440.70/587.33
  6. Step 6: Final answer
    x = 569.43

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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.