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Finding the Fourth Proportional to 429.09, 643.83 and 256.10

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Solution

The fourth proportional to 429.09, 643.83 and 256.10 is: 384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.09 : 643.83 = 256.10 : x
  2. Step 2: Convert to fraction form
    429.09/643.83 = 256.10/x
  3. Step 3: Cross multiply
    429.09x = 643.83 × 256.10
  4. Step 4: Simplify right side
    429.09x = 164,881.64
  5. Step 5: Solve for x
    x = 164,881.64/429.09
  6. Step 6: Final answer
    x = 384.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.