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Finding the Fourth Proportional to 567.34, 782.90 and 457.60

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Solution

The fourth proportional to 567.34, 782.90 and 457.60 is: 631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.34 : 782.90 = 457.60 : x
  2. Step 2: Convert to fraction form
    567.34/782.90 = 457.60/x
  3. Step 3: Cross multiply
    567.34x = 782.90 × 457.60
  4. Step 4: Simplify right side
    567.34x = 358,255.04
  5. Step 5: Solve for x
    x = 358,255.04/567.34
  6. Step 6: Final answer
    x = 631.46

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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.