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Finding the Fourth Proportional to 555.23, 766.65 and 345.71

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Solution

The fourth proportional to 555.23, 766.65 and 345.71 is: 477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.23 : 766.65 = 345.71 : x
  2. Step 2: Convert to fraction form
    555.23/766.65 = 345.71/x
  3. Step 3: Cross multiply
    555.23x = 766.65 × 345.71
  4. Step 4: Simplify right side
    555.23x = 265,038.57
  5. Step 5: Solve for x
    x = 265,038.57/555.23
  6. Step 6: Final answer
    x = 477.35

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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.