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Finding the Fourth Proportional to 565.40, 848.10 and 305.30

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Solution

The fourth proportional to 565.40, 848.10 and 305.30 is: 457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 848.10 = 305.30 : x
  2. Step 2: Convert to fraction form
    565.40/848.10 = 305.30/x
  3. Step 3: Cross multiply
    565.40x = 848.10 × 305.30
  4. Step 4: Simplify right side
    565.40x = 258,924.93
  5. Step 5: Solve for x
    x = 258,924.93/565.40
  6. Step 6: Final answer
    x = 457.95

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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.