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Finding the Fourth Proportional to 604.91, 904.91 and 502.40

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Solution

The fourth proportional to 604.91, 904.91 and 502.40 is: 751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.91 : 904.91 = 502.40 : x
  2. Step 2: Convert to fraction form
    604.91/904.91 = 502.40/x
  3. Step 3: Cross multiply
    604.91x = 904.91 × 502.40
  4. Step 4: Simplify right side
    604.91x = 454,619.75
  5. Step 5: Solve for x
    x = 454,619.75/604.91
  6. Step 6: Final answer
    x = 751.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.