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Finding the Fourth Proportional to 506.46, 760.01 and 290.46

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Solution

The fourth proportional to 506.46, 760.01 and 290.46 is: 435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.46 : 760.01 = 290.46 : x
  2. Step 2: Convert to fraction form
    506.46/760.01 = 290.46/x
  3. Step 3: Cross multiply
    506.46x = 760.01 × 290.46
  4. Step 4: Simplify right side
    506.46x = 220,752.50
  5. Step 5: Solve for x
    x = 220,752.50/506.46
  6. Step 6: Final answer
    x = 435.87

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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.