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Finding the Fourth Proportional to 651.58, 899.46 and 430.14

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Solution

The fourth proportional to 651.58, 899.46 and 430.14 is: 593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.58 : 899.46 = 430.14 : x
  2. Step 2: Convert to fraction form
    651.58/899.46 = 430.14/x
  3. Step 3: Cross multiply
    651.58x = 899.46 × 430.14
  4. Step 4: Simplify right side
    651.58x = 386,893.72
  5. Step 5: Solve for x
    x = 386,893.72/651.58
  6. Step 6: Final answer
    x = 593.78

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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.