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Finding the Fourth Proportional to 567.64, 783.32 and 334.76

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Solution

The fourth proportional to 567.64, 783.32 and 334.76 is: 461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.64 : 783.32 = 334.76 : x
  2. Step 2: Convert to fraction form
    567.64/783.32 = 334.76/x
  3. Step 3: Cross multiply
    567.64x = 783.32 × 334.76
  4. Step 4: Simplify right side
    567.64x = 262,224.20
  5. Step 5: Solve for x
    x = 262,224.20/567.64
  6. Step 6: Final answer
    x = 461.96

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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.