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Finding the Fourth Proportional to 428.78, 592.29 and 355.47

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Solution

The fourth proportional to 428.78, 592.29 and 355.47 is: 491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.78 : 592.29 = 355.47 : x
  2. Step 2: Convert to fraction form
    428.78/592.29 = 355.47/x
  3. Step 3: Cross multiply
    428.78x = 592.29 × 355.47
  4. Step 4: Simplify right side
    428.78x = 210,541.33
  5. Step 5: Solve for x
    x = 210,541.33/428.78
  6. Step 6: Final answer
    x = 491.03

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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.