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Finding the Fourth Proportional to 603.27, 904.91 and 256.52

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Solution

The fourth proportional to 603.27, 904.91 and 256.52 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.27 : 904.91 = 256.52 : x
  2. Step 2: Convert to fraction form
    603.27/904.91 = 256.52/x
  3. Step 3: Cross multiply
    603.27x = 904.91 × 256.52
  4. Step 4: Simplify right side
    603.27x = 232,130.42
  5. Step 5: Solve for x
    x = 232,130.42/603.27
  6. Step 6: Final answer
    x = 384.79

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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.