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Finding the Fourth Proportional to 507.50, 762.30 and 312.59

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Solution

The fourth proportional to 507.50, 762.30 and 312.59 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.50 : 762.30 = 312.59 : x
  2. Step 2: Convert to fraction form
    507.50/762.30 = 312.59/x
  3. Step 3: Cross multiply
    507.50x = 762.30 × 312.59
  4. Step 4: Simplify right side
    507.50x = 238,283.55
  5. Step 5: Solve for x
    x = 238,283.55/507.50
  6. Step 6: Final answer
    x = 469.53

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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.