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Finding the Fourth Proportional to 503.75, 695.16 and 317.34

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Solution

The fourth proportional to 503.75, 695.16 and 317.34 is: 437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.75 : 695.16 = 317.34 : x
  2. Step 2: Convert to fraction form
    503.75/695.16 = 317.34/x
  3. Step 3: Cross multiply
    503.75x = 695.16 × 317.34
  4. Step 4: Simplify right side
    503.75x = 220,602.07
  5. Step 5: Solve for x
    x = 220,602.07/503.75
  6. Step 6: Final answer
    x = 437.92

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Why These Related Problems?

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