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Finding the Fourth Proportional to 471.04, 649.44 and 383.52

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Solution

The fourth proportional to 471.04, 649.44 and 383.52 is: 528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.04 : 649.44 = 383.52 : x
  2. Step 2: Convert to fraction form
    471.04/649.44 = 383.52/x
  3. Step 3: Cross multiply
    471.04x = 649.44 × 383.52
  4. Step 4: Simplify right side
    471.04x = 249,073.23
  5. Step 5: Solve for x
    x = 249,073.23/471.04
  6. Step 6: Final answer
    x = 528.77

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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.