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Finding the Fourth Proportional to 587.76, 810.36 and 471.84

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Solution

The fourth proportional to 587.76, 810.36 and 471.84 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.76 : 810.36 = 471.84 : x
  2. Step 2: Convert to fraction form
    587.76/810.36 = 471.84/x
  3. Step 3: Cross multiply
    587.76x = 810.36 × 471.84
  4. Step 4: Simplify right side
    587.76x = 382,360.26
  5. Step 5: Solve for x
    x = 382,360.26/587.76
  6. Step 6: Final answer
    x = 650.54

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Why These Related Problems?

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