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Finding the Fourth Proportional to 581.30, 802.21 and 332.63

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Solution

The fourth proportional to 581.30, 802.21 and 332.63 is: 459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.30 : 802.21 = 332.63 : x
  2. Step 2: Convert to fraction form
    581.30/802.21 = 332.63/x
  3. Step 3: Cross multiply
    581.30x = 802.21 × 332.63
  4. Step 4: Simplify right side
    581.30x = 266,835.10
  5. Step 5: Solve for x
    x = 266,835.10/581.30
  6. Step 6: Final answer
    x = 459.04

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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.