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Finding the Fourth Proportional to 556.08, 767.54 and 346.15

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Solution

The fourth proportional to 556.08, 767.54 and 346.15 is: 477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.08 : 767.54 = 346.15 : x
  2. Step 2: Convert to fraction form
    556.08/767.54 = 346.15/x
  3. Step 3: Cross multiply
    556.08x = 767.54 × 346.15
  4. Step 4: Simplify right side
    556.08x = 265,678.40
  5. Step 5: Solve for x
    x = 265,678.40/556.08
  6. Step 6: Final answer
    x = 477.77

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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.