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Finding the Fourth Proportional to 474.26, 710.58 and 257.99

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Solution

The fourth proportional to 474.26, 710.58 and 257.99 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.26 : 710.58 = 257.99 : x
  2. Step 2: Convert to fraction form
    474.26/710.58 = 257.99/x
  3. Step 3: Cross multiply
    474.26x = 710.58 × 257.99
  4. Step 4: Simplify right side
    474.26x = 183,322.53
  5. Step 5: Solve for x
    x = 183,322.53/474.26
  6. Step 6: Final answer
    x = 386.54

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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.