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Finding the Fourth Proportional to 364.94, 503.78 and 260.10

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Solution

The fourth proportional to 364.94, 503.78 and 260.10 is: 359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.94 : 503.78 = 260.10 : x
  2. Step 2: Convert to fraction form
    364.94/503.78 = 260.10/x
  3. Step 3: Cross multiply
    364.94x = 503.78 × 260.10
  4. Step 4: Simplify right side
    364.94x = 131,033.18
  5. Step 5: Solve for x
    x = 131,033.18/364.94
  6. Step 6: Final answer
    x = 359.05

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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.