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Finding the Fourth Proportional to 430.73, 594.56 and 256.07

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Solution

The fourth proportional to 430.73, 594.56 and 256.07 is: 353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.73 : 594.56 = 256.07 : x
  2. Step 2: Convert to fraction form
    430.73/594.56 = 256.07/x
  3. Step 3: Cross multiply
    430.73x = 594.56 × 256.07
  4. Step 4: Simplify right side
    430.73x = 152,248.98
  5. Step 5: Solve for x
    x = 152,248.98/430.73
  6. Step 6: Final answer
    x = 353.47

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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.