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Finding the Fourth Proportional to 561.04, 772.36 and 473.68

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Solution

The fourth proportional to 561.04, 772.36 and 473.68 is: 652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.04 : 772.36 = 473.68 : x
  2. Step 2: Convert to fraction form
    561.04/772.36 = 473.68/x
  3. Step 3: Cross multiply
    561.04x = 772.36 × 473.68
  4. Step 4: Simplify right side
    561.04x = 365,851.48
  5. Step 5: Solve for x
    x = 365,851.48/561.04
  6. Step 6: Final answer
    x = 652.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.