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Finding the Fourth Proportional to 522.95, 784.65 and 215.03

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Solution

The fourth proportional to 522.95, 784.65 and 215.03 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.95 : 784.65 = 215.03 : x
  2. Step 2: Convert to fraction form
    522.95/784.65 = 215.03/x
  3. Step 3: Cross multiply
    522.95x = 784.65 × 215.03
  4. Step 4: Simplify right side
    522.95x = 168,723.29
  5. Step 5: Solve for x
    x = 168,723.29/522.95
  6. Step 6: Final answer
    x = 322.64

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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.