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Finding the Fourth Proportional to 509.04, 763.70 and 314.24

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Solution

The fourth proportional to 509.04, 763.70 and 314.24 is: 471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 763.70 = 314.24 : x
  2. Step 2: Convert to fraction form
    509.04/763.70 = 314.24/x
  3. Step 3: Cross multiply
    509.04x = 763.70 × 314.24
  4. Step 4: Simplify right side
    509.04x = 239,985.09
  5. Step 5: Solve for x
    x = 239,985.09/509.04
  6. Step 6: Final answer
    x = 471.45

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1.5x scale

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.