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Finding the Fourth Proportional to 662.76, 914.16 and 575.28

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Solution

The fourth proportional to 662.76, 914.16 and 575.28 is: 793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.76 : 914.16 = 575.28 : x
  2. Step 2: Convert to fraction form
    662.76/914.16 = 575.28/x
  3. Step 3: Cross multiply
    662.76x = 914.16 × 575.28
  4. Step 4: Simplify right side
    662.76x = 525,897.96
  5. Step 5: Solve for x
    x = 525,897.96/662.76
  6. Step 6: Final answer
    x = 793.50

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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.