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Finding the Fourth Proportional to 603.24, 904.17 and 256.07

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Solution

The fourth proportional to 603.24, 904.17 and 256.07 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.24 : 904.17 = 256.07 : x
  2. Step 2: Convert to fraction form
    603.24/904.17 = 256.07/x
  3. Step 3: Cross multiply
    603.24x = 904.17 × 256.07
  4. Step 4: Simplify right side
    603.24x = 231,526.29
  5. Step 5: Solve for x
    x = 231,526.29/603.24
  6. Step 6: Final answer
    x = 383.80

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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.