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Finding the Fourth Proportional to 841.56, 1,262.52 and 348

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Solution

The fourth proportional to 841.56, 1,262.52 and 348 is: 522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.56 : 1,262.52 = 348 : x
  2. Step 2: Convert to fraction form
    841.56/1,262.52 = 348/x
  3. Step 3: Cross multiply
    841.56x = 1,262.52 × 348
  4. Step 4: Simplify right side
    841.56x = 439,356.96
  5. Step 5: Solve for x
    x = 439,356.96/841.56
  6. Step 6: Final answer
    x = 522.07

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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.