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Finding the Fourth Proportional to 830.58, 1,246.04 and 282.75

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Solution

The fourth proportional to 830.58, 1,246.04 and 282.75 is: 424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.58 : 1,246.04 = 282.75 : x
  2. Step 2: Convert to fraction form
    830.58/1,246.04 = 282.75/x
  3. Step 3: Cross multiply
    830.58x = 1,246.04 × 282.75
  4. Step 4: Simplify right side
    830.58x = 352,316.40
  5. Step 5: Solve for x
    x = 352,316.40/830.58
  6. Step 6: Final answer
    x = 424.18

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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.