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Finding the Fourth Proportional to 604.58, 905.43 and 508.10

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Solution

The fourth proportional to 604.58, 905.43 and 508.10 is: 760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.58 : 905.43 = 508.10 : x
  2. Step 2: Convert to fraction form
    604.58/905.43 = 508.10/x
  3. Step 3: Cross multiply
    604.58x = 905.43 × 508.10
  4. Step 4: Simplify right side
    604.58x = 460,048.98
  5. Step 5: Solve for x
    x = 460,048.98/604.58
  6. Step 6: Final answer
    x = 760.94

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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.