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Finding the Fourth Proportional to 587.64, 810.54 and 432.12

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Solution

The fourth proportional to 587.64, 810.54 and 432.12 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.64 : 810.54 = 432.12 : x
  2. Step 2: Convert to fraction form
    587.64/810.54 = 432.12/x
  3. Step 3: Cross multiply
    587.64x = 810.54 × 432.12
  4. Step 4: Simplify right side
    587.64x = 350,250.54
  5. Step 5: Solve for x
    x = 350,250.54/587.64
  6. Step 6: Final answer
    x = 596.03

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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.