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Finding the Fourth Proportional to 651.42, 899.10 and 430.74

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Solution

The fourth proportional to 651.42, 899.10 and 430.74 is: 594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.42 : 899.10 = 430.74 : x
  2. Step 2: Convert to fraction form
    651.42/899.10 = 430.74/x
  3. Step 3: Cross multiply
    651.42x = 899.10 × 430.74
  4. Step 4: Simplify right side
    651.42x = 387,278.33
  5. Step 5: Solve for x
    x = 387,278.33/651.42
  6. Step 6: Final answer
    x = 594.51

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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.