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Finding the Fourth Proportional to 368.74, 508.46 and 258.16

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Solution

The fourth proportional to 368.74, 508.46 and 258.16 is: 355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.74 : 508.46 = 258.16 : x
  2. Step 2: Convert to fraction form
    368.74/508.46 = 258.16/x
  3. Step 3: Cross multiply
    368.74x = 508.46 × 258.16
  4. Step 4: Simplify right side
    368.74x = 131,264.03
  5. Step 5: Solve for x
    x = 131,264.03/368.74
  6. Step 6: Final answer
    x = 355.98

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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.