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Finding the Fourth Proportional to 528.04, 728.58 and 353.80

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Solution

The fourth proportional to 528.04, 728.58 and 353.80 is: 488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.04 : 728.58 = 353.80 : x
  2. Step 2: Convert to fraction form
    528.04/728.58 = 353.80/x
  3. Step 3: Cross multiply
    528.04x = 728.58 × 353.80
  4. Step 4: Simplify right side
    528.04x = 257,771.60
  5. Step 5: Solve for x
    x = 257,771.60/528.04
  6. Step 6: Final answer
    x = 488.17

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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.