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Finding the Fourth Proportional to 603.30, 832.91 and 407.01

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Solution

The fourth proportional to 603.30, 832.91 and 407.01 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.30 : 832.91 = 407.01 : x
  2. Step 2: Convert to fraction form
    603.30/832.91 = 407.01/x
  3. Step 3: Cross multiply
    603.30x = 832.91 × 407.01
  4. Step 4: Simplify right side
    603.30x = 339,002.70
  5. Step 5: Solve for x
    x = 339,002.70/603.30
  6. Step 6: Final answer
    x = 561.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.