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Finding the Fourth Proportional to 528.23, 728.78 and 307.10

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Solution

The fourth proportional to 528.23, 728.78 and 307.10 is: 423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.23 : 728.78 = 307.10 : x
  2. Step 2: Convert to fraction form
    528.23/728.78 = 307.10/x
  3. Step 3: Cross multiply
    528.23x = 728.78 × 307.10
  4. Step 4: Simplify right side
    528.23x = 223,810.93
  5. Step 5: Solve for x
    x = 223,810.93/528.23
  6. Step 6: Final answer
    x = 423.70

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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.