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Finding the Fourth Proportional to 651.08, 898.64 and 430.06

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Solution

The fourth proportional to 651.08, 898.64 and 430.06 is: 593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.08 : 898.64 = 430.06 : x
  2. Step 2: Convert to fraction form
    651.08/898.64 = 430.06/x
  3. Step 3: Cross multiply
    651.08x = 898.64 × 430.06
  4. Step 4: Simplify right side
    651.08x = 386,469.12
  5. Step 5: Solve for x
    x = 386,469.12/651.08
  6. Step 6: Final answer
    x = 593.58

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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.