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Finding the Fourth Proportional to 529.93, 794.57 and 313.66

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Solution

The fourth proportional to 529.93, 794.57 and 313.66 is: 470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.93 : 794.57 = 313.66 : x
  2. Step 2: Convert to fraction form
    529.93/794.57 = 313.66/x
  3. Step 3: Cross multiply
    529.93x = 794.57 × 313.66
  4. Step 4: Simplify right side
    529.93x = 249,219.29
  5. Step 5: Solve for x
    x = 249,219.29/529.93
  6. Step 6: Final answer
    x = 470.29

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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.