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Finding the Fourth Proportional to 282.59, 421.50 and 259.00

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Solution

The fourth proportional to 282.59, 421.50 and 259.00 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.59 : 421.50 = 259.00 : x
  2. Step 2: Convert to fraction form
    282.59/421.50 = 259.00/x
  3. Step 3: Cross multiply
    282.59x = 421.50 × 259.00
  4. Step 4: Simplify right side
    282.59x = 109,168.42
  5. Step 5: Solve for x
    x = 109,168.42/282.59
  6. Step 6: Final answer
    x = 386.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.