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Finding the Fourth Proportional to 612.10, 918.10 and 368.46

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Solution

The fourth proportional to 612.10, 918.10 and 368.46 is: 552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.10 : 918.10 = 368.46 : x
  2. Step 2: Convert to fraction form
    612.10/918.10 = 368.46/x
  3. Step 3: Cross multiply
    612.10x = 918.10 × 368.46
  4. Step 4: Simplify right side
    612.10x = 338,283.13
  5. Step 5: Solve for x
    x = 338,283.13/612.10
  6. Step 6: Final answer
    x = 552.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.