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Finding the Fourth Proportional to 603.84, 832.56 and 407.52

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Solution

The fourth proportional to 603.84, 832.56 and 407.52 is: 561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.84 : 832.56 = 407.52 : x
  2. Step 2: Convert to fraction form
    603.84/832.56 = 407.52/x
  3. Step 3: Cross multiply
    603.84x = 832.56 × 407.52
  4. Step 4: Simplify right side
    603.84x = 339,284.85
  5. Step 5: Solve for x
    x = 339,284.85/603.84
  6. Step 6: Final answer
    x = 561.88

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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.