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Finding the Fourth Proportional to 497.90, 743.58 and 400.56

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Solution

The fourth proportional to 497.90, 743.58 and 400.56 is: 598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.90 : 743.58 = 400.56 : x
  2. Step 2: Convert to fraction form
    497.90/743.58 = 400.56/x
  3. Step 3: Cross multiply
    497.90x = 743.58 × 400.56
  4. Step 4: Simplify right side
    497.90x = 297,848.40
  5. Step 5: Solve for x
    x = 297,848.40/497.90
  6. Step 6: Final answer
    x = 598.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.