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Finding the Fourth Proportional to 581.50, 803.08 and 577.45

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Solution

The fourth proportional to 581.50, 803.08 and 577.45 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.50 : 803.08 = 577.45 : x
  2. Step 2: Convert to fraction form
    581.50/803.08 = 577.45/x
  3. Step 3: Cross multiply
    581.50x = 803.08 × 577.45
  4. Step 4: Simplify right side
    581.50x = 463,738.55
  5. Step 5: Solve for x
    x = 463,738.55/581.50
  6. Step 6: Final answer
    x = 797.49

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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.