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Finding the Fourth Proportional to 497.66, 745.35 and 352.10

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Solution

The fourth proportional to 497.66, 745.35 and 352.10 is: 527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.66 : 745.35 = 352.10 : x
  2. Step 2: Convert to fraction form
    497.66/745.35 = 352.10/x
  3. Step 3: Cross multiply
    497.66x = 745.35 × 352.10
  4. Step 4: Simplify right side
    497.66x = 262,437.74
  5. Step 5: Solve for x
    x = 262,437.74/497.66
  6. Step 6: Final answer
    x = 527.34

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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.