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Finding the Fourth Proportional to 430.93, 595.10 and 313.08

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Solution

The fourth proportional to 430.93, 595.10 and 313.08 is: 432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.93 : 595.10 = 313.08 : x
  2. Step 2: Convert to fraction form
    430.93/595.10 = 313.08/x
  3. Step 3: Cross multiply
    430.93x = 595.10 × 313.08
  4. Step 4: Simplify right side
    430.93x = 186,313.91
  5. Step 5: Solve for x
    x = 186,313.91/430.93
  6. Step 6: Final answer
    x = 432.35

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