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Finding the Fourth Proportional to 501.60, 750.96 and 295.68

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Solution

The fourth proportional to 501.60, 750.96 and 295.68 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.60 : 750.96 = 295.68 : x
  2. Step 2: Convert to fraction form
    501.60/750.96 = 295.68/x
  3. Step 3: Cross multiply
    501.60x = 750.96 × 295.68
  4. Step 4: Simplify right side
    501.60x = 222,043.85
  5. Step 5: Solve for x
    x = 222,043.85/501.60
  6. Step 6: Final answer
    x = 442.67

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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.