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Finding the Fourth Proportional to 598.08, 824.62 and 562.30

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Solution

The fourth proportional to 598.08, 824.62 and 562.30 is: 775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.08 : 824.62 = 562.30 : x
  2. Step 2: Convert to fraction form
    598.08/824.62 = 562.30/x
  3. Step 3: Cross multiply
    598.08x = 824.62 × 562.30
  4. Step 4: Simplify right side
    598.08x = 463,683.83
  5. Step 5: Solve for x
    x = 463,683.83/598.08
  6. Step 6: Final answer
    x = 775.29

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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.