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Finding the Fourth Proportional to 565.29, 780.18 and 316.64

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Solution

The fourth proportional to 565.29, 780.18 and 316.64 is: 437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.29 : 780.18 = 316.64 : x
  2. Step 2: Convert to fraction form
    565.29/780.18 = 316.64/x
  3. Step 3: Cross multiply
    565.29x = 780.18 × 316.64
  4. Step 4: Simplify right side
    565.29x = 247,032.29
  5. Step 5: Solve for x
    x = 247,032.29/565.29
  6. Step 6: Final answer
    x = 437.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.