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Finding the Fourth Proportional to 522.56, 783.86 and 291.42

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Solution

The fourth proportional to 522.56, 783.86 and 291.42 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 783.86 = 291.42 : x
  2. Step 2: Convert to fraction form
    522.56/783.86 = 291.42/x
  3. Step 3: Cross multiply
    522.56x = 783.86 × 291.42
  4. Step 4: Simplify right side
    522.56x = 228,431.02
  5. Step 5: Solve for x
    x = 228,431.02/522.56
  6. Step 6: Final answer
    x = 437.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.