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Finding the Fourth Proportional to 437.90, 657.45 and 346.70

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Solution

The fourth proportional to 437.90, 657.45 and 346.70 is: 520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.90 : 657.45 = 346.70 : x
  2. Step 2: Convert to fraction form
    437.90/657.45 = 346.70/x
  3. Step 3: Cross multiply
    437.90x = 657.45 × 346.70
  4. Step 4: Simplify right side
    437.90x = 227,937.92
  5. Step 5: Solve for x
    x = 227,937.92/437.90
  6. Step 6: Final answer
    x = 520.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.