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Finding the Fourth Proportional to 565.68, 848.16 and 309.36

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Solution

The fourth proportional to 565.68, 848.16 and 309.36 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.68 : 848.16 = 309.36 : x
  2. Step 2: Convert to fraction form
    565.68/848.16 = 309.36/x
  3. Step 3: Cross multiply
    565.68x = 848.16 × 309.36
  4. Step 4: Simplify right side
    565.68x = 262,386.78
  5. Step 5: Solve for x
    x = 262,386.78/565.68
  6. Step 6: Final answer
    x = 463.84

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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.