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Finding the Fourth Proportional to 600.24, 904.89 and 561.90

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Solution

The fourth proportional to 600.24, 904.89 and 561.90 is: 847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 904.89 = 561.90 : x
  2. Step 2: Convert to fraction form
    600.24/904.89 = 561.90/x
  3. Step 3: Cross multiply
    600.24x = 904.89 × 561.90
  4. Step 4: Simplify right side
    600.24x = 508,457.69
  5. Step 5: Solve for x
    x = 508,457.69/600.24
  6. Step 6: Final answer
    x = 847.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.