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Finding the Fourth Proportional to 608.58, 912.33 and 464.94

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Solution

The fourth proportional to 608.58, 912.33 and 464.94 is: 697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.58 : 912.33 = 464.94 : x
  2. Step 2: Convert to fraction form
    608.58/912.33 = 464.94/x
  3. Step 3: Cross multiply
    608.58x = 912.33 × 464.94
  4. Step 4: Simplify right side
    608.58x = 424,178.71
  5. Step 5: Solve for x
    x = 424,178.71/608.58
  6. Step 6: Final answer
    x = 697.00

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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.