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Finding the Fourth Proportional to 600, 893.64 and 569.16

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Solution

The fourth proportional to 600, 893.64 and 569.16 is: 847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 893.64 = 569.16 : x
  2. Step 2: Convert to fraction form
    600/893.64 = 569.16/x
  3. Step 3: Cross multiply
    600x = 893.64 × 569.16
  4. Step 4: Simplify right side
    600x = 508,624.14
  5. Step 5: Solve for x
    x = 508,624.14/600
  6. Step 6: Final answer
    x = 847.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.