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Finding the Fourth Proportional to 904.40, 1,354.71 and 470.24

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Solution

The fourth proportional to 904.40, 1,354.71 and 470.24 is: 704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.40 : 1,354.71 = 470.24 : x
  2. Step 2: Convert to fraction form
    904.40/1,354.71 = 470.24/x
  3. Step 3: Cross multiply
    904.40x = 1,354.71 × 470.24
  4. Step 4: Simplify right side
    904.40x = 637,038.83
  5. Step 5: Solve for x
    x = 637,038.83/904.40
  6. Step 6: Final answer
    x = 704.38

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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.