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Finding the Fourth Proportional to 529.07, 730.35 and 410.74

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Solution

The fourth proportional to 529.07, 730.35 and 410.74 is: 567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.07 : 730.35 = 410.74 : x
  2. Step 2: Convert to fraction form
    529.07/730.35 = 410.74/x
  3. Step 3: Cross multiply
    529.07x = 730.35 × 410.74
  4. Step 4: Simplify right side
    529.07x = 299,982.13
  5. Step 5: Solve for x
    x = 299,982.13/529.07
  6. Step 6: Final answer
    x = 567.00

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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.