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Finding the Fourth Proportional to 522.15, 784.91 and 420.57

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Solution

The fourth proportional to 522.15, 784.91 and 420.57 is: 632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.15 : 784.91 = 420.57 : x
  2. Step 2: Convert to fraction form
    522.15/784.91 = 420.57/x
  3. Step 3: Cross multiply
    522.15x = 784.91 × 420.57
  4. Step 4: Simplify right side
    522.15x = 330,109.60
  5. Step 5: Solve for x
    x = 330,109.60/522.15
  6. Step 6: Final answer
    x = 632.21

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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.