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Finding the Fourth Proportional to 340.63, 509.61 and 263.01

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Solution

The fourth proportional to 340.63, 509.61 and 263.01 is: 393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.63 : 509.61 = 263.01 : x
  2. Step 2: Convert to fraction form
    340.63/509.61 = 263.01/x
  3. Step 3: Cross multiply
    340.63x = 509.61 × 263.01
  4. Step 4: Simplify right side
    340.63x = 134,032.53
  5. Step 5: Solve for x
    x = 134,032.53/340.63
  6. Step 6: Final answer
    x = 393.48

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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.