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Finding the Fourth Proportional to 603.33, 904.88 and 256.91

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Solution

The fourth proportional to 603.33, 904.88 and 256.91 is: 385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.33 : 904.88 = 256.91 : x
  2. Step 2: Convert to fraction form
    603.33/904.88 = 256.91/x
  3. Step 3: Cross multiply
    603.33x = 904.88 × 256.91
  4. Step 4: Simplify right side
    603.33x = 232,472.72
  5. Step 5: Solve for x
    x = 232,472.72/603.33
  6. Step 6: Final answer
    x = 385.32

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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.