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Finding the Fourth Proportional to 567.47, 783.18 and 410.63

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Solution

The fourth proportional to 567.47, 783.18 and 410.63 is: 566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.47 : 783.18 = 410.63 : x
  2. Step 2: Convert to fraction form
    567.47/783.18 = 410.63/x
  3. Step 3: Cross multiply
    567.47x = 783.18 × 410.63
  4. Step 4: Simplify right side
    567.47x = 321,593.29
  5. Step 5: Solve for x
    x = 321,593.29/567.47
  6. Step 6: Final answer
    x = 566.72

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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.