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Finding the Fourth Proportional to 567.72, 783.54 and 346.68

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Solution

The fourth proportional to 567.72, 783.54 and 346.68 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.72 : 783.54 = 346.68 : x
  2. Step 2: Convert to fraction form
    567.72/783.54 = 346.68/x
  3. Step 3: Cross multiply
    567.72x = 783.54 × 346.68
  4. Step 4: Simplify right side
    567.72x = 271,637.65
  5. Step 5: Solve for x
    x = 271,637.65/567.72
  6. Step 6: Final answer
    x = 478.47

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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.