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Finding the Fourth Proportional to 581.83, 803.64 and 435.12

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Solution

The fourth proportional to 581.83, 803.64 and 435.12 is: 601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.83 : 803.64 = 435.12 : x
  2. Step 2: Convert to fraction form
    581.83/803.64 = 435.12/x
  3. Step 3: Cross multiply
    581.83x = 803.64 × 435.12
  4. Step 4: Simplify right side
    581.83x = 349,679.84
  5. Step 5: Solve for x
    x = 349,679.84/581.83
  6. Step 6: Final answer
    x = 601.00

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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.