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Finding the Fourth Proportional to 501.80, 750.87 and 414.32

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Solution

The fourth proportional to 501.80, 750.87 and 414.32 is: 619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.80 : 750.87 = 414.32 : x
  2. Step 2: Convert to fraction form
    501.80/750.87 = 414.32/x
  3. Step 3: Cross multiply
    501.80x = 750.87 × 414.32
  4. Step 4: Simplify right side
    501.80x = 311,100.46
  5. Step 5: Solve for x
    x = 311,100.46/501.80
  6. Step 6: Final answer
    x = 619.97

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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.