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Finding the Fourth Proportional to 317.63, 438.35 and 233.99

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Solution

The fourth proportional to 317.63, 438.35 and 233.99 is: 322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.63 : 438.35 = 233.99 : x
  2. Step 2: Convert to fraction form
    317.63/438.35 = 233.99/x
  3. Step 3: Cross multiply
    317.63x = 438.35 × 233.99
  4. Step 4: Simplify right side
    317.63x = 102,567.32
  5. Step 5: Solve for x
    x = 102,567.32/317.63
  6. Step 6: Final answer
    x = 322.92

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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.