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Finding the Fourth Proportional to 565.40, 780.30 and 316.76

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Solution

The fourth proportional to 565.40, 780.30 and 316.76 is: 437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 780.30 = 316.76 : x
  2. Step 2: Convert to fraction form
    565.40/780.30 = 316.76/x
  3. Step 3: Cross multiply
    565.40x = 780.30 × 316.76
  4. Step 4: Simplify right side
    565.40x = 247,167.83
  5. Step 5: Solve for x
    x = 247,167.83/565.40
  6. Step 6: Final answer
    x = 437.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.