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Finding the Fourth Proportional to 509.59, 764.12 and 216.98

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Solution

The fourth proportional to 509.59, 764.12 and 216.98 is: 325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.59 : 764.12 = 216.98 : x
  2. Step 2: Convert to fraction form
    509.59/764.12 = 216.98/x
  3. Step 3: Cross multiply
    509.59x = 764.12 × 216.98
  4. Step 4: Simplify right side
    509.59x = 165,795.48
  5. Step 5: Solve for x
    x = 165,795.48/509.59
  6. Step 6: Final answer
    x = 325.35

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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.