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Finding the Fourth Proportional to 567.84, 783.39 and 346.71

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Solution

The fourth proportional to 567.84, 783.39 and 346.71 is: 478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.84 : 783.39 = 346.71 : x
  2. Step 2: Convert to fraction form
    567.84/783.39 = 346.71/x
  3. Step 3: Cross multiply
    567.84x = 783.39 × 346.71
  4. Step 4: Simplify right side
    567.84x = 271,605.23
  5. Step 5: Solve for x
    x = 271,605.23/567.84
  6. Step 6: Final answer
    x = 478.32

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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.