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Finding the Fourth Proportional to 430.83, 594.18 and 264.96

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Solution

The fourth proportional to 430.83, 594.18 and 264.96 is: 365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.83 : 594.18 = 264.96 : x
  2. Step 2: Convert to fraction form
    430.83/594.18 = 264.96/x
  3. Step 3: Cross multiply
    430.83x = 594.18 × 264.96
  4. Step 4: Simplify right side
    430.83x = 157,433.93
  5. Step 5: Solve for x
    x = 157,433.93/430.83
  6. Step 6: Final answer
    x = 365.42

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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.