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Finding the Fourth Proportional to 508.64, 701.54 and 384.08

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Solution

The fourth proportional to 508.64, 701.54 and 384.08 is: 529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.64 : 701.54 = 384.08 : x
  2. Step 2: Convert to fraction form
    508.64/701.54 = 384.08/x
  3. Step 3: Cross multiply
    508.64x = 701.54 × 384.08
  4. Step 4: Simplify right side
    508.64x = 269,447.48
  5. Step 5: Solve for x
    x = 269,447.48/508.64
  6. Step 6: Final answer
    x = 529.74

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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.