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Finding the Fourth Proportional to 565.58, 848.70 and 305.58

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Solution

The fourth proportional to 565.58, 848.70 and 305.58 is: 458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 848.70 = 305.58 : x
  2. Step 2: Convert to fraction form
    565.58/848.70 = 305.58/x
  3. Step 3: Cross multiply
    565.58x = 848.70 × 305.58
  4. Step 4: Simplify right side
    565.58x = 259,348.93
  5. Step 5: Solve for x
    x = 259,348.93/565.58
  6. Step 6: Final answer
    x = 458.55

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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.