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Finding the Fourth Proportional to 365.02, 503.34 and 260.12

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Solution

The fourth proportional to 365.02, 503.34 and 260.12 is: 358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.02 : 503.34 = 260.12 : x
  2. Step 2: Convert to fraction form
    365.02/503.34 = 260.12/x
  3. Step 3: Cross multiply
    365.02x = 503.34 × 260.12
  4. Step 4: Simplify right side
    365.02x = 130,928.80
  5. Step 5: Solve for x
    x = 130,928.80/365.02
  6. Step 6: Final answer
    x = 358.69

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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.