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Finding the Fourth Proportional to 567.15, 846.40 and 552.57

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Solution

The fourth proportional to 567.15, 846.40 and 552.57 is: 824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.15 : 846.40 = 552.57 : x
  2. Step 2: Convert to fraction form
    567.15/846.40 = 552.57/x
  3. Step 3: Cross multiply
    567.15x = 846.40 × 552.57
  4. Step 4: Simplify right side
    567.15x = 467,692.40
  5. Step 5: Solve for x
    x = 467,692.40/567.15
  6. Step 6: Final answer
    x = 824.64

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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.