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Finding the Fourth Proportional to 607.32, 909.63 and 364.14

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Solution

The fourth proportional to 607.32, 909.63 and 364.14 is: 545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.32 : 909.63 = 364.14 : x
  2. Step 2: Convert to fraction form
    607.32/909.63 = 364.14/x
  3. Step 3: Cross multiply
    607.32x = 909.63 × 364.14
  4. Step 4: Simplify right side
    607.32x = 331,232.67
  5. Step 5: Solve for x
    x = 331,232.67/607.32
  6. Step 6: Final answer
    x = 545.40

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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.