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Finding the Fourth Proportional to 430.52, 594 and 368.21

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Solution

The fourth proportional to 430.52, 594 and 368.21 is: 508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.52 : 594 = 368.21 : x
  2. Step 2: Convert to fraction form
    430.52/594 = 368.21/x
  3. Step 3: Cross multiply
    430.52x = 594 × 368.21
  4. Step 4: Simplify right side
    430.52x = 218,718.23
  5. Step 5: Solve for x
    x = 218,718.23/430.52
  6. Step 6: Final answer
    x = 508.04

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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.