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Finding the Fourth Proportional to 467.12, 643.32 and 430.64

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Solution

The fourth proportional to 467.12, 643.32 and 430.64 is: 593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.12 : 643.32 = 430.64 : x
  2. Step 2: Convert to fraction form
    467.12/643.32 = 430.64/x
  3. Step 3: Cross multiply
    467.12x = 643.32 × 430.64
  4. Step 4: Simplify right side
    467.12x = 277,039.32
  5. Step 5: Solve for x
    x = 277,039.32/467.12
  6. Step 6: Final answer
    x = 593.08

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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.