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Finding the Fourth Proportional to 435.70, 601.14 and 258.58

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Solution

The fourth proportional to 435.70, 601.14 and 258.58 is: 356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.70 : 601.14 = 258.58 : x
  2. Step 2: Convert to fraction form
    435.70/601.14 = 258.58/x
  3. Step 3: Cross multiply
    435.70x = 601.14 × 258.58
  4. Step 4: Simplify right side
    435.70x = 155,442.78
  5. Step 5: Solve for x
    x = 155,442.78/435.70
  6. Step 6: Final answer
    x = 356.77

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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.