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Finding the Fourth Proportional to 509.80, 763.86 and 317.02

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Solution

The fourth proportional to 509.80, 763.86 and 317.02 is: 475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 763.86 = 317.02 : x
  2. Step 2: Convert to fraction form
    509.80/763.86 = 317.02/x
  3. Step 3: Cross multiply
    509.80x = 763.86 × 317.02
  4. Step 4: Simplify right side
    509.80x = 242,158.90
  5. Step 5: Solve for x
    x = 242,158.90/509.80
  6. Step 6: Final answer
    x = 475.01

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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.