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Finding the Fourth Proportional to 841.55, 1,262.10 and 256.46

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Solution

The fourth proportional to 841.55, 1,262.10 and 256.46 is: 384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.55 : 1,262.10 = 256.46 : x
  2. Step 2: Convert to fraction form
    841.55/1,262.10 = 256.46/x
  3. Step 3: Cross multiply
    841.55x = 1,262.10 × 256.46
  4. Step 4: Simplify right side
    841.55x = 323,678.17
  5. Step 5: Solve for x
    x = 323,678.17/841.55
  6. Step 6: Final answer
    x = 384.62

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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.