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Finding the Fourth Proportional to 503.80, 695.02 and 317.19

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Solution

The fourth proportional to 503.80, 695.02 and 317.19 is: 437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.80 : 695.02 = 317.19 : x
  2. Step 2: Convert to fraction form
    503.80/695.02 = 317.19/x
  3. Step 3: Cross multiply
    503.80x = 695.02 × 317.19
  4. Step 4: Simplify right side
    503.80x = 220,453.39
  5. Step 5: Solve for x
    x = 220,453.39/503.80
  6. Step 6: Final answer
    x = 437.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.