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Finding the Fourth Proportional to 693.23, 954.59 and 496.40

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Solution

The fourth proportional to 693.23, 954.59 and 496.40 is: 683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 954.59 = 496.40 : x
  2. Step 2: Convert to fraction form
    693.23/954.59 = 496.40/x
  3. Step 3: Cross multiply
    693.23x = 954.59 × 496.40
  4. Step 4: Simplify right side
    693.23x = 473,851.22
  5. Step 5: Solve for x
    x = 473,851.22/693.23
  6. Step 6: Final answer
    x = 683.55

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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.