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Finding the Fourth Proportional to 567.30, 783.41 and 536.62

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Solution

The fourth proportional to 567.30, 783.41 and 536.62 is: 741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.30 : 783.41 = 536.62 : x
  2. Step 2: Convert to fraction form
    567.30/783.41 = 536.62/x
  3. Step 3: Cross multiply
    567.30x = 783.41 × 536.62
  4. Step 4: Simplify right side
    567.30x = 420,393.47
  5. Step 5: Solve for x
    x = 420,393.47/567.30
  6. Step 6: Final answer
    x = 741.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.