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Finding the Fourth Proportional to 317.93, 476.99 and 257.58

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Solution

The fourth proportional to 317.93, 476.99 and 257.58 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 476.99 = 257.58 : x
  2. Step 2: Convert to fraction form
    317.93/476.99 = 257.58/x
  3. Step 3: Cross multiply
    317.93x = 476.99 × 257.58
  4. Step 4: Simplify right side
    317.93x = 122,862.76
  5. Step 5: Solve for x
    x = 122,862.76/317.93
  6. Step 6: Final answer
    x = 386.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.