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Finding the Fourth Proportional to 497.90, 746.35 and 315.05

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Solution

The fourth proportional to 497.90, 746.35 and 315.05 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.90 : 746.35 = 315.05 : x
  2. Step 2: Convert to fraction form
    497.90/746.35 = 315.05/x
  3. Step 3: Cross multiply
    497.90x = 746.35 × 315.05
  4. Step 4: Simplify right side
    497.90x = 235,133.05
  5. Step 5: Solve for x
    x = 235,133.05/497.90
  6. Step 6: Final answer
    x = 472.25

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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.