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Finding the Fourth Proportional to 567.34, 783.10 and 346.42

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Solution

The fourth proportional to 567.34, 783.10 and 346.42 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.34 : 783.10 = 346.42 : x
  2. Step 2: Convert to fraction form
    567.34/783.10 = 346.42/x
  3. Step 3: Cross multiply
    567.34x = 783.10 × 346.42
  4. Step 4: Simplify right side
    567.34x = 271,281.50
  5. Step 5: Solve for x
    x = 271,281.50/567.34
  6. Step 6: Final answer
    x = 478.16

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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.