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Finding the Fourth Proportional to 530.42, 794.93 and 256.13

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Solution

The fourth proportional to 530.42, 794.93 and 256.13 is: 383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.42 : 794.93 = 256.13 : x
  2. Step 2: Convert to fraction form
    530.42/794.93 = 256.13/x
  3. Step 3: Cross multiply
    530.42x = 794.93 × 256.13
  4. Step 4: Simplify right side
    530.42x = 203,603.15
  5. Step 5: Solve for x
    x = 203,603.15/530.42
  6. Step 6: Final answer
    x = 383.86

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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.