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Finding the Fourth Proportional to 581.25, 802.16 and 332.65

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Solution

The fourth proportional to 581.25, 802.16 and 332.65 is: 459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.25 : 802.16 = 332.65 : x
  2. Step 2: Convert to fraction form
    581.25/802.16 = 332.65/x
  3. Step 3: Cross multiply
    581.25x = 802.16 × 332.65
  4. Step 4: Simplify right side
    581.25x = 266,839.36
  5. Step 5: Solve for x
    x = 266,839.36/581.25
  6. Step 6: Final answer
    x = 459.08

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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.