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Finding the Fourth Proportional to 567.47, 783.02 and 334.64

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Solution

The fourth proportional to 567.47, 783.02 and 334.64 is: 461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.47 : 783.02 = 334.64 : x
  2. Step 2: Convert to fraction form
    567.47/783.02 = 334.64/x
  3. Step 3: Cross multiply
    567.47x = 783.02 × 334.64
  4. Step 4: Simplify right side
    567.47x = 262,028.14
  5. Step 5: Solve for x
    x = 262,028.14/567.47
  6. Step 6: Final answer
    x = 461.75

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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.