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Finding the Fourth Proportional to 909.63, 1,364.27 and 260.19

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Solution

The fourth proportional to 909.63, 1,364.27 and 260.19 is: 390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.63 : 1,364.27 = 260.19 : x
  2. Step 2: Convert to fraction form
    909.63/1,364.27 = 260.19/x
  3. Step 3: Cross multiply
    909.63x = 1,364.27 × 260.19
  4. Step 4: Simplify right side
    909.63x = 354,968.11
  5. Step 5: Solve for x
    x = 354,968.11/909.63
  6. Step 6: Final answer
    x = 390.23

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1.5x scale

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.