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Finding the Fourth Proportional to 522.82, 784.05 and 152.53

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Solution

The fourth proportional to 522.82, 784.05 and 152.53 is: 228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.82 : 784.05 = 152.53 : x
  2. Step 2: Convert to fraction form
    522.82/784.05 = 152.53/x
  3. Step 3: Cross multiply
    522.82x = 784.05 × 152.53
  4. Step 4: Simplify right side
    522.82x = 119,588.90
  5. Step 5: Solve for x
    x = 119,588.90/522.82
  6. Step 6: Final answer
    x = 228.74

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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.