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Finding the Fourth Proportional to 522.89, 783.88 and 279.59

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Solution

The fourth proportional to 522.89, 783.88 and 279.59 is: 419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.89 : 783.88 = 279.59 : x
  2. Step 2: Convert to fraction form
    522.89/783.88 = 279.59/x
  3. Step 3: Cross multiply
    522.89x = 783.88 × 279.59
  4. Step 4: Simplify right side
    522.89x = 219,165.01
  5. Step 5: Solve for x
    x = 219,165.01/522.89
  6. Step 6: Final answer
    x = 419.14

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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.