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Finding the Fourth Proportional to 529.64, 728.98 and 405.08

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Solution

The fourth proportional to 529.64, 728.98 and 405.08 is: 557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.64 : 728.98 = 405.08 : x
  2. Step 2: Convert to fraction form
    529.64/728.98 = 405.08/x
  3. Step 3: Cross multiply
    529.64x = 728.98 × 405.08
  4. Step 4: Simplify right side
    529.64x = 295,295.22
  5. Step 5: Solve for x
    x = 295,295.22/529.64
  6. Step 6: Final answer
    x = 557.54

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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.