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Finding the Fourth Proportional to 567.24, 783.10 and 346.24

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Solution

The fourth proportional to 567.24, 783.10 and 346.24 is: 478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 783.10 = 346.24 : x
  2. Step 2: Convert to fraction form
    567.24/783.10 = 346.24/x
  3. Step 3: Cross multiply
    567.24x = 783.10 × 346.24
  4. Step 4: Simplify right side
    567.24x = 271,140.54
  5. Step 5: Solve for x
    x = 271,140.54/567.24
  6. Step 6: Final answer
    x = 478.00

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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.