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Finding the Fourth Proportional to 608.84, 912.58 and 464.26

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Solution

The fourth proportional to 608.84, 912.58 and 464.26 is: 695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.84 : 912.58 = 464.26 : x
  2. Step 2: Convert to fraction form
    608.84/912.58 = 464.26/x
  3. Step 3: Cross multiply
    608.84x = 912.58 × 464.26
  4. Step 4: Simplify right side
    608.84x = 423,674.39
  5. Step 5: Solve for x
    x = 423,674.39/608.84
  6. Step 6: Final answer
    x = 695.87

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Why These Related Problems?

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