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Finding the Fourth Proportional to 582.70, 803.07 and 549.10

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Solution

The fourth proportional to 582.70, 803.07 and 549.10 is: 756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.70 : 803.07 = 549.10 : x
  2. Step 2: Convert to fraction form
    582.70/803.07 = 549.10/x
  3. Step 3: Cross multiply
    582.70x = 803.07 × 549.10
  4. Step 4: Simplify right side
    582.70x = 440,965.74
  5. Step 5: Solve for x
    x = 440,965.74/582.70
  6. Step 6: Final answer
    x = 756.76

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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.