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Finding the Fourth Proportional to 509.49, 701.34 and 384.95

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Solution

The fourth proportional to 509.49, 701.34 and 384.95 is: 529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 701.34 = 384.95 : x
  2. Step 2: Convert to fraction form
    509.49/701.34 = 384.95/x
  3. Step 3: Cross multiply
    509.49x = 701.34 × 384.95
  4. Step 4: Simplify right side
    509.49x = 269,980.83
  5. Step 5: Solve for x
    x = 269,980.83/509.49
  6. Step 6: Final answer
    x = 529.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.