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Finding the Fourth Proportional to 509.64, 764.10 and 317.40

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Solution

The fourth proportional to 509.64, 764.10 and 317.40 is: 475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.64 : 764.10 = 317.40 : x
  2. Step 2: Convert to fraction form
    509.64/764.10 = 317.40/x
  3. Step 3: Cross multiply
    509.64x = 764.10 × 317.40
  4. Step 4: Simplify right side
    509.64x = 242,525.34
  5. Step 5: Solve for x
    x = 242,525.34/509.64
  6. Step 6: Final answer
    x = 475.88

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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.