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Finding the Fourth Proportional to 603.40, 904.47 and 384.19

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Solution

The fourth proportional to 603.40, 904.47 and 384.19 is: 575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.40 : 904.47 = 384.19 : x
  2. Step 2: Convert to fraction form
    603.40/904.47 = 384.19/x
  3. Step 3: Cross multiply
    603.40x = 904.47 × 384.19
  4. Step 4: Simplify right side
    603.40x = 347,488.33
  5. Step 5: Solve for x
    x = 347,488.33/603.40
  6. Step 6: Final answer
    x = 575.88

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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.