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Finding the Fourth Proportional to 562.16, 775.80 and 536.24

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Solution

The fourth proportional to 562.16, 775.80 and 536.24 is: 740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.16 : 775.80 = 536.24 : x
  2. Step 2: Convert to fraction form
    562.16/775.80 = 536.24/x
  3. Step 3: Cross multiply
    562.16x = 775.80 × 536.24
  4. Step 4: Simplify right side
    562.16x = 416,014.99
  5. Step 5: Solve for x
    x = 416,014.99/562.16
  6. Step 6: Final answer
    x = 740.03

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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.