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Finding the Fourth Proportional to 431.34, 645.47 and 373.76

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Solution

The fourth proportional to 431.34, 645.47 and 373.76 is: 559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 645.47 = 373.76 : x
  2. Step 2: Convert to fraction form
    431.34/645.47 = 373.76/x
  3. Step 3: Cross multiply
    431.34x = 645.47 × 373.76
  4. Step 4: Simplify right side
    431.34x = 241,250.87
  5. Step 5: Solve for x
    x = 241,250.87/431.34
  6. Step 6: Final answer
    x = 559.31

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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.