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Finding the Fourth Proportional to 555.60, 767.70 and 416.28

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Solution

The fourth proportional to 555.60, 767.70 and 416.28 is: 575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.60 : 767.70 = 416.28 : x
  2. Step 2: Convert to fraction form
    555.60/767.70 = 416.28/x
  3. Step 3: Cross multiply
    555.60x = 767.70 × 416.28
  4. Step 4: Simplify right side
    555.60x = 319,578.16
  5. Step 5: Solve for x
    x = 319,578.16/555.60
  6. Step 6: Final answer
    x = 575.19

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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.