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Finding the Fourth Proportional to 534.23, 737.58 and 345.50

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Solution

The fourth proportional to 534.23, 737.58 and 345.50 is: 477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.23 : 737.58 = 345.50 : x
  2. Step 2: Convert to fraction form
    534.23/737.58 = 345.50/x
  3. Step 3: Cross multiply
    534.23x = 737.58 × 345.50
  4. Step 4: Simplify right side
    534.23x = 254,830.20
  5. Step 5: Solve for x
    x = 254,830.20/534.23
  6. Step 6: Final answer
    x = 477.01

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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.