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Finding the Fourth Proportional to 555.95, 767.36 and 346.01

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Solution

The fourth proportional to 555.95, 767.36 and 346.01 is: 477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.95 : 767.36 = 346.01 : x
  2. Step 2: Convert to fraction form
    555.95/767.36 = 346.01/x
  3. Step 3: Cross multiply
    555.95x = 767.36 × 346.01
  4. Step 4: Simplify right side
    555.95x = 265,511.26
  5. Step 5: Solve for x
    x = 265,511.26/555.95
  6. Step 6: Final answer
    x = 477.58

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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.