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Finding the Fourth Proportional to 430.97, 595.07 and 265.25

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Solution

The fourth proportional to 430.97, 595.07 and 265.25 is: 366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.97 : 595.07 = 265.25 : x
  2. Step 2: Convert to fraction form
    430.97/595.07 = 265.25/x
  3. Step 3: Cross multiply
    430.97x = 595.07 × 265.25
  4. Step 4: Simplify right side
    430.97x = 157,838.02
  5. Step 5: Solve for x
    x = 157,838.02/430.97
  6. Step 6: Final answer
    x = 366.24

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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.