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Finding the Fourth Proportional to 529.58, 729.74 and 405.24

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Solution

The fourth proportional to 529.58, 729.74 and 405.24 is: 558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.58 : 729.74 = 405.24 : x
  2. Step 2: Convert to fraction form
    529.58/729.74 = 405.24/x
  3. Step 3: Cross multiply
    529.58x = 729.74 × 405.24
  4. Step 4: Simplify right side
    529.58x = 295,719.84
  5. Step 5: Solve for x
    x = 295,719.84/529.58
  6. Step 6: Final answer
    x = 558.40

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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.