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Finding the Fourth Proportional to 529.94, 731.50 and 364.40

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Solution

The fourth proportional to 529.94, 731.50 and 364.40 is: 503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.94 : 731.50 = 364.40 : x
  2. Step 2: Convert to fraction form
    529.94/731.50 = 364.40/x
  3. Step 3: Cross multiply
    529.94x = 731.50 × 364.40
  4. Step 4: Simplify right side
    529.94x = 266,558.60
  5. Step 5: Solve for x
    x = 266,558.60/529.94
  6. Step 6: Final answer
    x = 503.00

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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.