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Finding the Fourth Proportional to 651.14, 897.99 and 430.32

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Solution

The fourth proportional to 651.14, 897.99 and 430.32 is: 593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.14 : 897.99 = 430.32 : x
  2. Step 2: Convert to fraction form
    651.14/897.99 = 430.32/x
  3. Step 3: Cross multiply
    651.14x = 897.99 × 430.32
  4. Step 4: Simplify right side
    651.14x = 386,418.57
  5. Step 5: Solve for x
    x = 386,418.57/651.14
  6. Step 6: Final answer
    x = 593.45

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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.