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Finding the Fourth Proportional to 435.83, 601.53 and 258.83

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Solution

The fourth proportional to 435.83, 601.53 and 258.83 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.83 : 601.53 = 258.83 : x
  2. Step 2: Convert to fraction form
    435.83/601.53 = 258.83/x
  3. Step 3: Cross multiply
    435.83x = 601.53 × 258.83
  4. Step 4: Simplify right side
    435.83x = 155,694.01
  5. Step 5: Solve for x
    x = 155,694.01/435.83
  6. Step 6: Final answer
    x = 357.24

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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.