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Finding the Fourth Proportional to 603.36, 898.65 and 596.16

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Solution

The fourth proportional to 603.36, 898.65 and 596.16 is: 887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.36 : 898.65 = 596.16 : x
  2. Step 2: Convert to fraction form
    603.36/898.65 = 596.16/x
  3. Step 3: Cross multiply
    603.36x = 898.65 × 596.16
  4. Step 4: Simplify right side
    603.36x = 535,739.18
  5. Step 5: Solve for x
    x = 535,739.18/603.36
  6. Step 6: Final answer
    x = 887.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.