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Finding the Fourth Proportional to 406.96, 607.52 and 389.28

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Solution

The fourth proportional to 406.96, 607.52 and 389.28 is: 581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.96 : 607.52 = 389.28 : x
  2. Step 2: Convert to fraction form
    406.96/607.52 = 389.28/x
  3. Step 3: Cross multiply
    406.96x = 607.52 × 389.28
  4. Step 4: Simplify right side
    406.96x = 236,495.39
  5. Step 5: Solve for x
    x = 236,495.39/406.96
  6. Step 6: Final answer
    x = 581.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.