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Finding the Fourth Proportional to 567.91, 783.84 and 347.02

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Solution

The fourth proportional to 567.91, 783.84 and 347.02 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.91 : 783.84 = 347.02 : x
  2. Step 2: Convert to fraction form
    567.91/783.84 = 347.02/x
  3. Step 3: Cross multiply
    567.91x = 783.84 × 347.02
  4. Step 4: Simplify right side
    567.91x = 272,007.50
  5. Step 5: Solve for x
    x = 272,007.50/567.91
  6. Step 6: Final answer
    x = 478.96

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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.