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Finding the Fourth Proportional to 607.50, 909.36 and 400.68

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Solution

The fourth proportional to 607.50, 909.36 and 400.68 is: 599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 909.36 = 400.68 : x
  2. Step 2: Convert to fraction form
    607.50/909.36 = 400.68/x
  3. Step 3: Cross multiply
    607.50x = 909.36 × 400.68
  4. Step 4: Simplify right side
    607.50x = 364,362.36
  5. Step 5: Solve for x
    x = 364,362.36/607.50
  6. Step 6: Final answer
    x = 599.77

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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.