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Finding the Fourth Proportional to 503.02, 752.79 and 317.84

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Solution

The fourth proportional to 503.02, 752.79 and 317.84 is: 475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.02 : 752.79 = 317.84 : x
  2. Step 2: Convert to fraction form
    503.02/752.79 = 317.84/x
  3. Step 3: Cross multiply
    503.02x = 752.79 × 317.84
  4. Step 4: Simplify right side
    503.02x = 239,263.01
  5. Step 5: Solve for x
    x = 239,263.01/503.02
  6. Step 6: Final answer
    x = 475.66

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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.