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Finding the Fourth Proportional to 504.95, 696.42 and 318.25

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Solution

The fourth proportional to 504.95, 696.42 and 318.25 is: 438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.95 : 696.42 = 318.25 : x
  2. Step 2: Convert to fraction form
    504.95/696.42 = 318.25/x
  3. Step 3: Cross multiply
    504.95x = 696.42 × 318.25
  4. Step 4: Simplify right side
    504.95x = 221,639.39
  5. Step 5: Solve for x
    x = 221,639.39/504.95
  6. Step 6: Final answer
    x = 438.94

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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.