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Finding the Fourth Proportional to 570.48, 784.65 and 470.19

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Solution

The fourth proportional to 570.48, 784.65 and 470.19 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.48 : 784.65 = 470.19 : x
  2. Step 2: Convert to fraction form
    570.48/784.65 = 470.19/x
  3. Step 3: Cross multiply
    570.48x = 784.65 × 470.19
  4. Step 4: Simplify right side
    570.48x = 368,934.58
  5. Step 5: Solve for x
    x = 368,934.58/570.48
  6. Step 6: Final answer
    x = 646.71

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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.