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Finding the Fourth Proportional to 567, 783.21 and 456.90

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Solution

The fourth proportional to 567, 783.21 and 456.90 is: 631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 783.21 = 456.90 : x
  2. Step 2: Convert to fraction form
    567/783.21 = 456.90/x
  3. Step 3: Cross multiply
    567x = 783.21 × 456.90
  4. Step 4: Simplify right side
    567x = 357,848.65
  5. Step 5: Solve for x
    x = 357,848.65/567
  6. Step 6: Final answer
    x = 631.13

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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.