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Finding the Fourth Proportional to 530.94, 795.50 and 256.86

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Solution

The fourth proportional to 530.94, 795.50 and 256.86 is: 384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.94 : 795.50 = 256.86 : x
  2. Step 2: Convert to fraction form
    530.94/795.50 = 256.86/x
  3. Step 3: Cross multiply
    530.94x = 795.50 × 256.86
  4. Step 4: Simplify right side
    530.94x = 204,332.13
  5. Step 5: Solve for x
    x = 204,332.13/530.94
  6. Step 6: Final answer
    x = 384.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.