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Finding the Fourth Proportional to 507.62, 700.40 and 300.50

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Solution

The fourth proportional to 507.62, 700.40 and 300.50 is: 414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.62 : 700.40 = 300.50 : x
  2. Step 2: Convert to fraction form
    507.62/700.40 = 300.50/x
  3. Step 3: Cross multiply
    507.62x = 700.40 × 300.50
  4. Step 4: Simplify right side
    507.62x = 210,470.20
  5. Step 5: Solve for x
    x = 210,470.20/507.62
  6. Step 6: Final answer
    x = 414.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.