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Finding the Fourth Proportional to 909.34, 1,364.01 and 476.39

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Solution

The fourth proportional to 909.34, 1,364.01 and 476.39 is: 714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.34 : 1,364.01 = 476.39 : x
  2. Step 2: Convert to fraction form
    909.34/1,364.01 = 476.39/x
  3. Step 3: Cross multiply
    909.34x = 1,364.01 × 476.39
  4. Step 4: Simplify right side
    909.34x = 649,800.72
  5. Step 5: Solve for x
    x = 649,800.72/909.34
  6. Step 6: Final answer
    x = 714.59

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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.