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Finding the Fourth Proportional to 581.63, 801.90 and 464.00

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Solution

The fourth proportional to 581.63, 801.90 and 464.00 is: 639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 801.90 = 464.00 : x
  2. Step 2: Convert to fraction form
    581.63/801.90 = 464.00/x
  3. Step 3: Cross multiply
    581.63x = 801.90 × 464.00
  4. Step 4: Simplify right side
    581.63x = 372,077.59
  5. Step 5: Solve for x
    x = 372,077.59/581.63
  6. Step 6: Final answer
    x = 639.72

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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.