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Finding the Fourth Proportional to 556, 767.54 and 346.47

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Solution

The fourth proportional to 556, 767.54 and 346.47 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556 : 767.54 = 346.47 : x
  2. Step 2: Convert to fraction form
    556/767.54 = 346.47/x
  3. Step 3: Cross multiply
    556x = 767.54 × 346.47
  4. Step 4: Simplify right side
    556x = 265,929.58
  5. Step 5: Solve for x
    x = 265,929.58/556
  6. Step 6: Final answer
    x = 478.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.