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Finding the Fourth Proportional to 509.50, 764.16 and 144.32

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Solution

The fourth proportional to 509.50, 764.16 and 144.32 is: 216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 764.16 = 144.32 : x
  2. Step 2: Convert to fraction form
    509.50/764.16 = 144.32/x
  3. Step 3: Cross multiply
    509.50x = 764.16 × 144.32
  4. Step 4: Simplify right side
    509.50x = 110,283.57
  5. Step 5: Solve for x
    x = 110,283.57/509.50
  6. Step 6: Final answer
    x = 216.45

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1.5x scale

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.