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Finding the Fourth Proportional to 430.66, 594.32 and 234.17

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Solution

The fourth proportional to 430.66, 594.32 and 234.17 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.66 : 594.32 = 234.17 : x
  2. Step 2: Convert to fraction form
    430.66/594.32 = 234.17/x
  3. Step 3: Cross multiply
    430.66x = 594.32 × 234.17
  4. Step 4: Simplify right side
    430.66x = 139,172.23
  5. Step 5: Solve for x
    x = 139,172.23/430.66
  6. Step 6: Final answer
    x = 323.16

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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.