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Finding the Fourth Proportional to 565.55, 780.53 and 369.63

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Solution

The fourth proportional to 565.55, 780.53 and 369.63 is: 510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.55 : 780.53 = 369.63 : x
  2. Step 2: Convert to fraction form
    565.55/780.53 = 369.63/x
  3. Step 3: Cross multiply
    565.55x = 780.53 × 369.63
  4. Step 4: Simplify right side
    565.55x = 288,507.30
  5. Step 5: Solve for x
    x = 288,507.30/565.55
  6. Step 6: Final answer
    x = 510.14

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