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Finding the Fourth Proportional to 562.90, 832.93 and 562.90

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Solution

The fourth proportional to 562.90, 832.93 and 562.90 is: 832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.90 : 832.93 = 562.90 : x
  2. Step 2: Convert to fraction form
    562.90/832.93 = 562.90/x
  3. Step 3: Cross multiply
    562.90x = 832.93 × 562.90
  4. Step 4: Simplify right side
    562.90x = 468,856.30
  5. Step 5: Solve for x
    x = 468,856.30/562.90
  6. Step 6: Final answer
    x = 832.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.