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Finding the Fourth Proportional to 581.35, 802.33 and 332.69

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Solution

The fourth proportional to 581.35, 802.33 and 332.69 is: 459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.35 : 802.33 = 332.69 : x
  2. Step 2: Convert to fraction form
    581.35/802.33 = 332.69/x
  3. Step 3: Cross multiply
    581.35x = 802.33 × 332.69
  4. Step 4: Simplify right side
    581.35x = 266,927.77
  5. Step 5: Solve for x
    x = 266,927.77/581.35
  6. Step 6: Final answer
    x = 459.15

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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.