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Finding the Fourth Proportional to 507.43, 700.28 and 332.95

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Solution

The fourth proportional to 507.43, 700.28 and 332.95 is: 459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.43 : 700.28 = 332.95 : x
  2. Step 2: Convert to fraction form
    507.43/700.28 = 332.95/x
  3. Step 3: Cross multiply
    507.43x = 700.28 × 332.95
  4. Step 4: Simplify right side
    507.43x = 233,156.56
  5. Step 5: Solve for x
    x = 233,156.56/507.43
  6. Step 6: Final answer
    x = 459.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.