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Finding the Fourth Proportional to 614.99, 921.24 and 354.24

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Solution

The fourth proportional to 614.99, 921.24 and 354.24 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.99 : 921.24 = 354.24 : x
  2. Step 2: Convert to fraction form
    614.99/921.24 = 354.24/x
  3. Step 3: Cross multiply
    614.99x = 921.24 × 354.24
  4. Step 4: Simplify right side
    614.99x = 326,340.06
  5. Step 5: Solve for x
    x = 326,340.06/614.99
  6. Step 6: Final answer
    x = 530.64

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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.