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Finding the Fourth Proportional to 529.74, 797.04 and 313.47

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Solution

The fourth proportional to 529.74, 797.04 and 313.47 is: 471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 797.04 = 313.47 : x
  2. Step 2: Convert to fraction form
    529.74/797.04 = 313.47/x
  3. Step 3: Cross multiply
    529.74x = 797.04 × 313.47
  4. Step 4: Simplify right side
    529.74x = 249,848.13
  5. Step 5: Solve for x
    x = 249,848.13/529.74
  6. Step 6: Final answer
    x = 471.64

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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.