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Finding the Fourth Proportional to 567.58, 846.08 and 536.80

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Solution

The fourth proportional to 567.58, 846.08 and 536.80 is: 800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.58 : 846.08 = 536.80 : x
  2. Step 2: Convert to fraction form
    567.58/846.08 = 536.80/x
  3. Step 3: Cross multiply
    567.58x = 846.08 × 536.80
  4. Step 4: Simplify right side
    567.58x = 454,170.94
  5. Step 5: Solve for x
    x = 454,170.94/567.58
  6. Step 6: Final answer
    x = 800.19

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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.