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Finding the Fourth Proportional to 567.45, 782.60 and 456.89

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Solution

The fourth proportional to 567.45, 782.60 and 456.89 is: 630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.45 : 782.60 = 456.89 : x
  2. Step 2: Convert to fraction form
    567.45/782.60 = 456.89/x
  3. Step 3: Cross multiply
    567.45x = 782.60 × 456.89
  4. Step 4: Simplify right side
    567.45x = 357,555.92
  5. Step 5: Solve for x
    x = 357,555.92/567.45
  6. Step 6: Final answer
    x = 630.11

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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.