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Finding the Fourth Proportional to 546.99, 755.01 and 407.58

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Solution

The fourth proportional to 546.99, 755.01 and 407.58 is: 562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.99 : 755.01 = 407.58 : x
  2. Step 2: Convert to fraction form
    546.99/755.01 = 407.58/x
  3. Step 3: Cross multiply
    546.99x = 755.01 × 407.58
  4. Step 4: Simplify right side
    546.99x = 307,726.98
  5. Step 5: Solve for x
    x = 307,726.98/546.99
  6. Step 6: Final answer
    x = 562.58

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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.