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Finding the Fourth Proportional to 558.19, 838.06 and 284.47

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Solution

The fourth proportional to 558.19, 838.06 and 284.47 is: 427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.19 : 838.06 = 284.47 : x
  2. Step 2: Convert to fraction form
    558.19/838.06 = 284.47/x
  3. Step 3: Cross multiply
    558.19x = 838.06 × 284.47
  4. Step 4: Simplify right side
    558.19x = 238,402.93
  5. Step 5: Solve for x
    x = 238,402.93/558.19
  6. Step 6: Final answer
    x = 427.10

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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.