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Finding the Fourth Proportional to 567.40, 783.16 and 346.50

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Solution

The fourth proportional to 567.40, 783.16 and 346.50 is: 478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.40 : 783.16 = 346.50 : x
  2. Step 2: Convert to fraction form
    567.40/783.16 = 346.50/x
  3. Step 3: Cross multiply
    567.40x = 783.16 × 346.50
  4. Step 4: Simplify right side
    567.40x = 271,364.94
  5. Step 5: Solve for x
    x = 271,364.94/567.40
  6. Step 6: Final answer
    x = 478.26

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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.