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Finding the Fourth Proportional to 530.14, 794.76 and 313.42

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Solution

The fourth proportional to 530.14, 794.76 and 313.42 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.14 : 794.76 = 313.42 : x
  2. Step 2: Convert to fraction form
    530.14/794.76 = 313.42/x
  3. Step 3: Cross multiply
    530.14x = 794.76 × 313.42
  4. Step 4: Simplify right side
    530.14x = 249,093.68
  5. Step 5: Solve for x
    x = 249,093.68/530.14
  6. Step 6: Final answer
    x = 469.86

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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.