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Finding the Fourth Proportional to 612.98, 918.56 and 283.10

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Solution

The fourth proportional to 612.98, 918.56 and 283.10 is: 424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.98 : 918.56 = 283.10 : x
  2. Step 2: Convert to fraction form
    612.98/918.56 = 283.10/x
  3. Step 3: Cross multiply
    612.98x = 918.56 × 283.10
  4. Step 4: Simplify right side
    612.98x = 260,044.34
  5. Step 5: Solve for x
    x = 260,044.34/612.98
  6. Step 6: Final answer
    x = 424.23

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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.