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Finding the Fourth Proportional to 430.82, 594.34 and 264.93

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Solution

The fourth proportional to 430.82, 594.34 and 264.93 is: 365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.82 : 594.34 = 264.93 : x
  2. Step 2: Convert to fraction form
    430.82/594.34 = 264.93/x
  3. Step 3: Cross multiply
    430.82x = 594.34 × 264.93
  4. Step 4: Simplify right side
    430.82x = 157,458.50
  5. Step 5: Solve for x
    x = 157,458.50/430.82
  6. Step 6: Final answer
    x = 365.49

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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.