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Finding the Fourth Proportional to 522.68, 782.46 and 340.16

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Solution

The fourth proportional to 522.68, 782.46 and 340.16 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.68 : 782.46 = 340.16 : x
  2. Step 2: Convert to fraction form
    522.68/782.46 = 340.16/x
  3. Step 3: Cross multiply
    522.68x = 782.46 × 340.16
  4. Step 4: Simplify right side
    522.68x = 266,161.59
  5. Step 5: Solve for x
    x = 266,161.59/522.68
  6. Step 6: Final answer
    x = 509.22

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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.