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Finding the Fourth Proportional to 567.96, 783.24 and 358.17

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Solution

The fourth proportional to 567.96, 783.24 and 358.17 is: 493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.96 : 783.24 = 358.17 : x
  2. Step 2: Convert to fraction form
    567.96/783.24 = 358.17/x
  3. Step 3: Cross multiply
    567.96x = 783.24 × 358.17
  4. Step 4: Simplify right side
    567.96x = 280,536.22
  5. Step 5: Solve for x
    x = 280,536.22/567.96
  6. Step 6: Final answer
    x = 493.93

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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.