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Finding the Fourth Proportional to 566.45, 848.55 and 498.80

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Solution

The fourth proportional to 566.45, 848.55 and 498.80 is: 747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.45 : 848.55 = 498.80 : x
  2. Step 2: Convert to fraction form
    566.45/848.55 = 498.80/x
  3. Step 3: Cross multiply
    566.45x = 848.55 × 498.80
  4. Step 4: Simplify right side
    566.45x = 423,256.74
  5. Step 5: Solve for x
    x = 423,256.74/566.45
  6. Step 6: Final answer
    x = 747.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.