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Finding the Fourth Proportional to 603.36, 905.76 and 460.08

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Solution

The fourth proportional to 603.36, 905.76 and 460.08 is: 690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.36 : 905.76 = 460.08 : x
  2. Step 2: Convert to fraction form
    603.36/905.76 = 460.08/x
  3. Step 3: Cross multiply
    603.36x = 905.76 × 460.08
  4. Step 4: Simplify right side
    603.36x = 416,722.06
  5. Step 5: Solve for x
    x = 416,722.06/603.36
  6. Step 6: Final answer
    x = 690.67

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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.