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Finding the Fourth Proportional to 554.34, 830.70 and 432

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Solution

The fourth proportional to 554.34, 830.70 and 432 is: 647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.34 : 830.70 = 432 : x
  2. Step 2: Convert to fraction form
    554.34/830.70 = 432/x
  3. Step 3: Cross multiply
    554.34x = 830.70 × 432
  4. Step 4: Simplify right side
    554.34x = 358,862.40
  5. Step 5: Solve for x
    x = 358,862.40/554.34
  6. Step 6: Final answer
    x = 647.37

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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.