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Finding the Fourth Proportional to 566.47, 848.93 and 291.98

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Solution

The fourth proportional to 566.47, 848.93 and 291.98 is: 437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.47 : 848.93 = 291.98 : x
  2. Step 2: Convert to fraction form
    566.47/848.93 = 291.98/x
  3. Step 3: Cross multiply
    566.47x = 848.93 × 291.98
  4. Step 4: Simplify right side
    566.47x = 247,870.58
  5. Step 5: Solve for x
    x = 247,870.58/566.47
  6. Step 6: Final answer
    x = 437.57

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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.