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Finding the Fourth Proportional to 603.12, 903.36 and 465.16

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Solution

The fourth proportional to 603.12, 903.36 and 465.16 is: 696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.12 : 903.36 = 465.16 : x
  2. Step 2: Convert to fraction form
    603.12/903.36 = 465.16/x
  3. Step 3: Cross multiply
    603.12x = 903.36 × 465.16
  4. Step 4: Simplify right side
    603.12x = 420,206.94
  5. Step 5: Solve for x
    x = 420,206.94/603.12
  6. Step 6: Final answer
    x = 696.72

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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.