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Finding the Fourth Proportional to 522.10, 782.88 and 339.76

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Solution

The fourth proportional to 522.10, 782.88 and 339.76 is: 509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.10 : 782.88 = 339.76 : x
  2. Step 2: Convert to fraction form
    522.10/782.88 = 339.76/x
  3. Step 3: Cross multiply
    522.10x = 782.88 × 339.76
  4. Step 4: Simplify right side
    522.10x = 265,991.31
  5. Step 5: Solve for x
    x = 265,991.31/522.10
  6. Step 6: Final answer
    x = 509.46

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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.