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Finding the Fourth Proportional to 612.51, 845.05 and 402.80

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Solution

The fourth proportional to 612.51, 845.05 and 402.80 is: 555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.51 : 845.05 = 402.80 : x
  2. Step 2: Convert to fraction form
    612.51/845.05 = 402.80/x
  3. Step 3: Cross multiply
    612.51x = 845.05 × 402.80
  4. Step 4: Simplify right side
    612.51x = 340,386.14
  5. Step 5: Solve for x
    x = 340,386.14/612.51
  6. Step 6: Final answer
    x = 555.72

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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.