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Finding the Fourth Proportional to 698.76, 964.62 and 437.16

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Solution

The fourth proportional to 698.76, 964.62 and 437.16 is: 603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.76 : 964.62 = 437.16 : x
  2. Step 2: Convert to fraction form
    698.76/964.62 = 437.16/x
  3. Step 3: Cross multiply
    698.76x = 964.62 × 437.16
  4. Step 4: Simplify right side
    698.76x = 421,693.28
  5. Step 5: Solve for x
    x = 421,693.28/698.76
  6. Step 6: Final answer
    x = 603.49

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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.