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Finding the Fourth Proportional to 565.89, 848.83 and 292.51

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Solution

The fourth proportional to 565.89, 848.83 and 292.51 is: 438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 848.83 = 292.51 : x
  2. Step 2: Convert to fraction form
    565.89/848.83 = 292.51/x
  3. Step 3: Cross multiply
    565.89x = 848.83 × 292.51
  4. Step 4: Simplify right side
    565.89x = 248,292.14
  5. Step 5: Solve for x
    x = 248,292.14/565.89
  6. Step 6: Final answer
    x = 438.77

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