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Finding the Fourth Proportional to 909.53, 1,364.30 and 260.32

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Solution

The fourth proportional to 909.53, 1,364.30 and 260.32 is: 390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.53 : 1,364.30 = 260.32 : x
  2. Step 2: Convert to fraction form
    909.53/1,364.30 = 260.32/x
  3. Step 3: Cross multiply
    909.53x = 1,364.30 × 260.32
  4. Step 4: Simplify right side
    909.53x = 355,150.51
  5. Step 5: Solve for x
    x = 355,150.51/909.53
  6. Step 6: Final answer
    x = 390.48

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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.