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Finding the Fourth Proportional to 539.40, 805.65 and 430.86

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Solution

The fourth proportional to 539.40, 805.65 and 430.86 is: 643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.40 : 805.65 = 430.86 : x
  2. Step 2: Convert to fraction form
    539.40/805.65 = 430.86/x
  3. Step 3: Cross multiply
    539.40x = 805.65 × 430.86
  4. Step 4: Simplify right side
    539.40x = 347,122.36
  5. Step 5: Solve for x
    x = 347,122.36/539.40
  6. Step 6: Final answer
    x = 643.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.