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Finding the Fourth Proportional to 567.61, 783.28 and 346.54

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Solution

The fourth proportional to 567.61, 783.28 and 346.54 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.61 : 783.28 = 346.54 : x
  2. Step 2: Convert to fraction form
    567.61/783.28 = 346.54/x
  3. Step 3: Cross multiply
    567.61x = 783.28 × 346.54
  4. Step 4: Simplify right side
    567.61x = 271,437.85
  5. Step 5: Solve for x
    x = 271,437.85/567.61
  6. Step 6: Final answer
    x = 478.21

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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.