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Finding the Fourth Proportional to 430.89, 594.39 and 265.07

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Solution

The fourth proportional to 430.89, 594.39 and 265.07 is: 365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.89 : 594.39 = 265.07 : x
  2. Step 2: Convert to fraction form
    430.89/594.39 = 265.07/x
  3. Step 3: Cross multiply
    430.89x = 594.39 × 265.07
  4. Step 4: Simplify right side
    430.89x = 157,553.63
  5. Step 5: Solve for x
    x = 157,553.63/430.89
  6. Step 6: Final answer
    x = 365.65

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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.